Prevocational mathematics

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1 Prevocational mathematics Semester 1 Topic 3: Earning money Unit A Workbook ID: _02

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3 Topic 3 Earning money Unit A Workbook Exercise 1 Complete this exercise in your exercise book. Remember to set your work out as shown in the worked examples and Your turns! 1. Use the formula net pay = gross pay income tax to complete the following table. Gross Pay Income Tax $ $ $ $89.90 $ $20.60 $ $18.25 Net Pay 2. Each week Jayne pays $79.25 income tax. Her gross pay is $ What is Jayne s net pay? 3. Justin works in a law firm. His gross pay is $ per week, and he pays $ income tax each week. What is Justin s weekly take-home pay? Check your responses Prevocational Mathematics 1

4 Unit A Workbook Topic 3 Earning money Exercise 2 Complete this exercise in your exercise book. 1. Use the rules given in the box below to complete the following table. net income = gross income income tax gross income = net income + income tax income tax = gross income net income Gross Pay Income Tax Net Pay $ $ $ $ $ $ $ $ $ $ Tom s take-home pay is $ If Tom pays $ income tax, what is his gross pay? 3. Nicole s gross pay is $ Her net pay is $ How much income tax does Nicole pay? 4. Last week Karol s take-home pay was $ If Karol s income tax was $26.72 that week, what was his gross pay for the week? 5. Cosima s gross pay for one fortnight was $ If $ was deducted for income tax, calculate her net pay for the fortnight. Check your responses 2 Prevocational Mathematics

5 Topic 3 Earning money Unit A Workbook Exercise 3 Complete this exercise in your exercise book. All rates of pay included in this exercise are from the Queensland Government s Wageline website at These rates were correct as of December 2005, but are subject to change. Current rates of pay may be obtained by accessing the above website. 1. Harry and Cecile have just started work with a security company. Harry is starting as a Level 1 security officer and Cecile as a Level 3 security officer. Use the rates of pay for security officers given in the following table to answer Question 1. SECURITY INDUSTRY (CONTRACTORS) AWARD STATE All employees The minimum weekly wage payable to employees in the Southern Division (Eastern District) will be as follows: Classification Level Wages Per Week $ Security Officer Level 1 Security Officer Level 2 Security Officer Level 3 Security Officer Level 4 Security Officer Level Source: 2005, Wageline, Department of Industrial Relations. Available Internet <URL: (Accessed 4 January 2006) (a) What are Harry and Cecile s starting wages? (b) After 12 months, Harry and Cecile progress to the next level of pay. What will their weekly wages be in the following year? Prevocational Mathematics 3

6 Unit A Workbook Topic 3 Earning money Use the rates of pay for dental assistants given in the following two tables to answer Questions 2 and 3. DENTAL ASSISTANTS (PRIVATE PRACTICE) AWARD - STATE Wages Adult employees - The minimum weekly wage payable to employees shall be as follows: Classification Level Wages Per Week Southern Division Eastern District Dental Assistant Level Dental Assistant Level Dental Assistant Level Dental Assistant Level Dental Assistant Level Junior Rates of Pay - The minimum weekly rate of wages payable to junior employees shall be calculated as follows: $ Age Percentage of Appropriate Adult Rate Under 17 years of age 55% Under 18 years of age 65% Under 19 years of age 75% Under 20 years of age 85% Source: 2005, Wageline, Department of Industrial Relations. Available Internet <URL: (Accessed 4 January 2006) 2. Leah is 17 years old and has just been offered a job as a dental assistant. She has no previous experience so she will be starting as a Level 1 dental assistant. According to the table, the rate of pay for a person under 18 years of age is 65% of the normal adult wage for the same level. (a) Calculate Leah s weekly wage when she first starts her job. 4 Prevocational Mathematics

7 Topic 3 Earning money Unit A Workbook (b) After working for 6 months, Leah is still 17 years old but is entitled to be paid as a Level 2 dental assistant. Calculate her weekly wage after 6 months. u Source: 2005, Dental Assisting, Portland Community College. Available Internet: <URL: dental/assisting/> (Accessed 4 January 2006) (c) Leah turns 18 while she is working as a Level 2 dental assistant. Calculate Leah s weekly wage after she turns Tranh is 19 years old and is currently being paid as a Level 3 dental assistant. (a) Calculate Tranh s current weekly wage. (b) What will Tranh s weekly wage be the following year when he is 20 years old and a Level 4 dental assistant? Check your responses Prevocational Mathematics 5

8 Unit A Workbook Topic 3 Earning money Exercise 4 Complete this exercise in your exercise book. 1. Johann works in a restaurant and earns $12.74 per hour. How much will Johann earn for the week if he works 22 hours? 2. Abha works a hour week and earns $ for the week. Calculate her hourly rate of pay. 3. Zach is 17 years old and works part time as a hairdresser. His hourly rate of pay is $7.61 and he is paid each fortnight. How much would Zach earn for the fortnight if he worked 16 hours in the first week and 18 hours in the second week? 4. Bajnok works full time in a restaurant. He is paid $ per week. How much would Bajnok earn in a year? (1 year = 52 weeks) 5. One year, Yoshi earned $ (a) Calculate Yoshi s average weekly wage. (b) If Yoshi works a 38 hour week, what is his hourly rate of pay? Check your responses 6 Prevocational Mathematics

9 Topic 3 Earning money Unit A Workbook Exercise 5 Complete this exercise in your exercise book. 1. Calculate the monthly income of a person with an annual salary of: (a) $ (b) $ Round your answers to the nearest cent. 2. Calculate the annual income of a person who earns: (a) $ per fortnight (b) $ per month. Round your answers to the nearest whole dollar. 3. Josh earns $ per month, and Sarah earns $ each fortnight. Who has the higher annual income? 4. Lucy is paid an annual income of $48 560, and Lorna is paid an annual income of $ Lucy receives a 2% pay rise, and Lorna receives a 2.5% pay rise. (a) Which person receives the larger pay rise (in money terms)? (b) Who has the higher annual income after the pay rise? Check your responses Prevocational Mathematics 7

10 Unit A Workbook Topic 3 Earning money Exercise 6 Complete this exercise in your exercise book. 1. Natasha is a dance instructor. She teaches groups of students 3 days a week after school between 3 p.m. and 6 p.m. Her classes are structured in the following way: each class has a maximum of 10 students each class is 1 hour long the fee for each student per class is $12. (a) What is the most money Natasha can earn for: (i) each class? (ii) an afternoon? (iii) the week? (b) The following table shows the number of students in each of Natasha s classes. Time of class Number of students Day 1 Day 2 Day 3 3 p.m 4 p.m p.m. 5 p.m p.m. 6 p.m Calculate the total amount earned for the week. (c) If Natasha earns this amount (from part (b)) each week during the school terms (40 weeks), calculate her annual income. 2. Rudolph is a tennis coach. He charges $60 per hour for private lessons (i.e. one person at a time), and $10 per person per hour for group lessons (6 to 8 people per group). One week Rudolph took 10 private lessons and 6 group lessons. Four of the group lessons had 8 people, and the other two group lessons had 6 people. Calculate his earnings for the week. 8 Prevocational Mathematics

11 Topic 3 Earning money Unit A Workbook 3. Greg is a plumber. He charges a call-out fee of $80 each time he goes to a new job, and $20 per 1 2 hour after the first hour. (The call-out fee covers any work done in the first hour.) One day Greg had 4 different jobs as shown in the following table. Job Time taken 1 3 hours hour hours 4 1 hour Calculate his earnings for the day. Check your responses Prevocational Mathematics 9

12 Unit A Workbook Topic 3 Earning money Exercise 7 Complete this exercise in your exercise book. 1. Sachi sells kitchen knives for a company. He receives 15% commission on the total of all sales for the month. Calculate his commission in a month when his sales totalled: (a) $1080 (b) $ Sadie earns money by selling cleaning products to people. She receives 17% commission on the total of sales each fortnight. What commission would she receive if her total sales for the fortnight were: (a) $980? (b) $1520? 3. Susan is a real estate agent. She receives 2.5% commission on the first $ of a sale, and 2% commission on the remainder. Calculate her commission on sales worth: (a) $ (b) $ (c) $ Check your responses 10 Prevocational Mathematics

13 Topic 3 Earning money Unit A Workbook Exercise 8 Complete this exercise in your exercise book. 1. Helga sells cosmetics. She is paid a weekly retainer of $100 plus 15% of all sales. Calculate her earnings for the week if she sells products to the value of: (a) $680 (b) $ Helen works as a real estate agent. She is paid a monthly retainer of $500 plus commission of 2.5% on the first $ of each sale, and 2% on the remainder. How much will Helen be paid each month if she sells: (a) 1 house for $ in July? (b) 2 houses worth $ and $ in August? (c) no houses in September? Note: The commission is worked out for each sale you will need to calculate the commission for each house in part (b) separately. Check your responses Prevocational Mathematics 11

14 Unit A Workbook Topic 3 Earning money Exercise 9 Complete this exercise in your exercise book. 1. Adele went on a working holiday. In one town, she worked on a banana plantation. She was paid $1.80 per box of bananas packed. (a) Calculate Adele s income for the day when she packed 120 boxes. (b) How many boxes will Adele need to pack to earn $225? 2. Paul has a casual job decorating plates. He is paid 40c for each plate he decorates. (a) How much will Paul earn for decorating 150 plates? (b) How many plates would Paul need to decorate to earn $100? 3. During the winter holidays, Ben works as a casual orange-picker. He is paid $4.60 per box of oranges he packs. (a) How many boxes of oranges would Ben need to pack to earn $50? (b) The table below shows how many boxes Ben packed each day in one week. Copy and complete the table to calculate Ben s total earnings for the week. Day No. boxes Earnings ($) Monday 12 Tuesday 15 Wednesday 13 Thursday 15 Friday 14 Saturday 16 Total earnings 12 Prevocational Mathematics

15 Topic 3 Earning money Unit A Workbook 4. Deian has a casual job knitting scarves for a retail outlet. She is paid $2 per scarf for the first 100 scarves, and $2.20 for each scarf in excess of 100. Calculate Deian s pay for the following orders: (a) 80 scarves (b) 100 scarves (c) 130 scarves (d) 180 scarves (e) 200 scarves u Source: Yarn: Wool needle work. Available internet: <URL: woolneedlework.com/pattern/naturally/ Scarves1_by_naturally.shtml> (Accessed 4 January 2006) Check your responses Prevocational Mathematics 13

16 Unit A Workbook Topic 3 Earning money Exercise 10 Complete this exercise in your exercise book. Normal hourly rate $5.80 $8.30 $11.74 $ Copy and complete the table below. Calculate the penalty rates for the given hourly rates. Round your answers to 2 decimal places where necessary. Time-and-a-half (x 1.5) Penalty rates Double-time (x 2) Double-time-anda-half (x 2.5) 2. Calculate the amount Lynn earns on penalty rates if: (a) her normal hourly rate is $5.90 and she works for 3 hours at time-and-a-half (b) her normal hourly rate is $9.45 and she works for 6 hours at double-time. 3. Copy and complete this table. Use the information in the table to calculate: the hourly penalty rate the amount earned on penalty rates. Round answers to 2 decimal places where necessary. Hourly rate $8.76 Penalty rate double-time-anda-half Hourly penalty rate Hours worked on penalty rate 2 Earnings on penalty rates $11.42 time-and-a-half 5 $12.19 double-time-anda-half 7 14 Prevocational Mathematics

17 Topic 3 Earning money Unit A Workbook 4. One week, Heather worked 18 hours at her normal hourly rate of $9.46. In the same week, she also worked 2 hours at time-and-a-half. Calculate: (a) Heather s earnings for the 18 normal hours (b) Heather s earnings for the 2 hours overtime (c) Heather s gross earnings for the week. 5. David works part time as a mechanic. His normal hourly rate is $ One week David worked 20 hours at normal time, 5 hours at time-and-a-half and 2 hours at double-time. (a) Calculate David s gross wage for the week. (b) If David paid $49.48 in income tax that week, calculate his net pay. Check your responses Prevocational Mathematics 15

18 Unit A Workbook Topic 3 Earning money Exercise 11 Complete this exercise in your exercise book. 1. Draco works full time and earns $ per week. He is taking 4 weeks holiday and will be paid holiday loading. Calculate: (a) Draco s holiday loading per week (b) his holiday pay per week (c) his holiday pay for the 4 weeks of his holiday. 2. Ron plans to take 2 weeks of his annual leave. His normal fortnightly wage is $ Calculate Ron s holiday pay for the fortnight. Check your responses 16 Prevocational Mathematics

19 Topic 3 Earning money Unit A Workbook Self-check answers Exercise 1 1. Gross Pay Income Tax Net Pay $ $ $ $ $ $ $ $ $ $ $ $ net pay = gross pay income tax = $ $79.25 = $ Jayne s net pay is $ net pay = gross pay income tax = $ $ = $ Justin s net pay is $ Exercise 2 1. Gross Pay Income Tax Net Pay $ $ $ $ $ $ $ $ $ $ $ $ $ $ $ Prevocational Mathematics 17

20 Unit A Workbook Topic 3 Earning money 2. gross pay = net pay + income tax = $ $ = $ Tom s gross weekly pay is $ income tax = gross pay net pay = $ $ = $ Nicole pays $ in income tax. 4. gross pay = net pay + income tax = $ $26.72 = $ Karol s gross weekly pay is $ net pay = gross pay income tax = $ $ = $ Cosima s net pay is $ Prevocational Mathematics

21 Topic 3 Earning money Unit A Workbook Exercise 3 1. (a) (b) Classification Level Wages Per Week Security Officer Level Security Officer Level Security Officer Level Security Officer Level Security Officer Level According to the table, Security Officer Level 1 receives $ per week and Security Officer Level 3 receives $ per week. Harry will receive $ per week, and Cecile will receive $ per week. Classification Level $ Wages Per Week Security Officer Level Security Officer Level Security Officer Level Security Officer Level Security Officer Level The following year, Harry will be a Level 2 Security Officer and Cecile will be a Level 4 Security Officer. Harry will be paid $ per week and Cecile will be paid $ per week. $ Prevocational Mathematics 19

22 Unit A Workbook Topic 3 Earning money 2. (a) Age Percentage of appropriate Adult Rate Under 17 years of age 55% Under 18 years of age 65% Under 19 years of age 75% Under 20 years of age 85% Classification Level Wages Per Week Southern Division Eastern District Dental Assistant Level Dental Assistant Level Dental Assistant Level Dental Assistant Level Dental Assistant Level When she first starts, Leah will receive 65% of the Dental Assistant Level 1 adult wage. 65% x $ = 0.65 x = $ When she first starts her job, Leah s weekly wage will be $ $ 20 Prevocational Mathematics

23 Topic 3 Earning money Unit A Workbook (b) Age Percentage of appropriate Adult Rate Under 17 years of age 55% Under 18 years of age 65% Under 19 years of age 75% Under 20 years of age 85% Classification Level Wages Per Week Southern Division Eastern District Dental Assistant Level Dental Assistant Level Dental Assistant Level Dental Assistant Level Dental Assistant Level After 6 months Leah will receive 65% of the Level 2 adult wage. 65% x $ = 0.65 x = $ After 6 months, Leah s weekly wage will be $ $ Prevocational Mathematics 21

24 Unit A Workbook Topic 3 Earning money (c) Age Percentage of appropriate Adult Rate Under 17 years of age 55% Under 18 years of age 65% Under 19 years of age 75% Under 20 years of age 85% Classification Level Wages Per Week Southern Division Eastern District Dental Assistant Level Dental Assistant Level Dental Assistant Level Dental Assistant Level Dental Assistant Level When she turns 18, Leah will receive 75% of the Level 2 adult wage. 75% x $ = 0.75 x = $ After she turns 18, Leah s weekly wage will be $ $ 22 Prevocational Mathematics

25 Topic 3 Earning money Unit A Workbook 3. (a) Age Percentage of appropriate Adult Rate Under 17 years of age 55% Under 18 years of age 65% Under 19 years of age 75% Under 20 years of age 85% Classification Level Wages Per Week Southern Division Eastern District Dental Assistant Level Dental Assistant Level Dental Assistant Level Dental Assistant Level Dental Assistant Level Tranh is currently receiving 85% of the adult Level 3 wage. 85% x $ = 0.85 x = $ Tranh is currently receiving $ per week. $ (b) Classification Level Wages Per Week Southern Division Eastern District Dental Assistant Level Dental Assistant Level Dental Assistant Level Dental Assistant Level Dental Assistant Level The following year, when Tranh is 20 years old, he will receive the full Level 4 adult wage. He will receive $ per week. $ Prevocational Mathematics 23

26 Unit A Workbook Topic 3 Earning money Exercise 4 1. amount earned = hourly rate x no. of hours = $12.74 x 22 = $ Johann earns $ for working a 22-hour week. 2. hourly rate = amount earned hours worked = $ = $13.84 Abha is paid $13.84 per hour. 3. total hours for the fortnight = = 34 h amount earned = hourly rate x no. of hours = $7.61 x 34 = $ Zach earns $ for working a 34-hour fortnight. 4. amount earned per year = weekly amount x 52 = $ x 52 = $ Bajnok earns $ per year. 24 Prevocational Mathematics

27 Topic 3 Earning money Unit A Workbook 5. (a) weekly wage = yearly wage 52 = $ = $ Yoshi earns $ per week. (b) hourly rate = total earned hours worked = $ = $15.21 Yoshi is paid $15.21 per hour. Exercise 5 1. (a) monthly salary = annual salary 12 = $ = $ The monthly salary is $ (b) monthly salary = annual salary 12 = $ = $ The monthly salary is $ (a) annual salary = fortnightly salary x 26 = $ x 26 = $ = $ (to nearest whole dollar) The annual salary is $ Prevocational Mathematics 25

28 Unit A Workbook Topic 3 Earning money (b) annual salary = monthly salary x 12 = $ x 12 = $ = $ (to nearest whole dollar) The annual salary is $ Josh s annual salary = monthly salary x 12 = $ x 12 = $ = $ (to nearest whole dollar) Josh s annual salary is $ Sarah s annual salary = fortnightly salary x 26 = $ x 26 = $ = $ (to nearest whole dollar) Sarah s annual salary is $ Sarah has the higher annual income. Note: Remember, 1 year = 12 months 1 year = 26 fortnights Doubling the fortnightly pay will not give the monthly pay. 26 Prevocational Mathematics

29 Topic 3 Earning money Unit A Workbook 4. (a) Lucy s pay rise = 2% of $ = 0.02 x = $ Lorna s pay rise = 2.5% of $ = x = $1211 Lorna has the higher pay rise in money terms. (b) Lucy s annual income = $ $ = $ Lorna s annual income = $ $1211 = $ Lorna has the higher annual income after the pay rise. Exercise 6 1. (a) (i) amount per class = fee per student x no. students = $12 x 10 = $120 The most Natasha can make per class is $120. (ii) amount per afternoon = amount per class x no. classes = $120 x 3 = $360 The most Natasha can make per afternoon is $360. Prevocational Mathematics 27

30 Unit A Workbook Topic 3 Earning money (iii) amount per week = amount per afternoon x no. afternoons = $360 x 3 = $1080 The most Natasha can make per week is $1080. (b) total number of students = = 71 total earned for the week = no. students x fee per student = 71 x $12 = $852 Natasha earned $852 for the week. (c) annual income = weekly income x 40 = $852 x 40 = $ Natasha s annual income is $ earnings for private lessons = no. lessons x fee per lesson = 10 x 60 = $600 earnings per group of 8 = no. people x fee per person = 8 x $10 = $80 earnings per group of 6 = no. people x fee per person = 6 x $10 = $60 28 Prevocational Mathematics

31 Topic 3 Earning money Unit A Workbook total earnings for group lessons = $80 x 4 + $60 x 2 = $440 total earnings for the week = earnings for private lessons + earnings for group lessons = $600 + $440 = $1040 Rudolph earned $1040 for the week. 3. earnings for first job (3 h) = call-out fee (1 h) + pay for 2 h = $ x $20 = $160 earnings for 2nd job ( 1 2 h) = call-out fee = $80 earnings for 3rd job (2 1 2 h) = call-out fee + pay for h = $ x $20 = $140 earnings for 4th job (1 h) = call-out fee = $80 total earnings for the day = $160 + $80 + $140 + $80 = $460 Greg earned $460 for the day. Prevocational Mathematics 29

32 Unit A Workbook Topic 3 Earning money Exercise 7 1. (a) commission = 15% of $1080 = 0.15 x $1080 = $162 Sachi s commission for the month is $162. (b) commission = 15% of $3450 = 0.15 x $3450 = $ Sachi s commission for the month is $ (a) commission = 17% of $980 = 0.17 x $980 = $ Sadie s commission for the fortnight is $ (b) commission = 17% of $1520 = 0.17 x $1520 = $ Sadie s commission for the fortnight is $ (a) commission on first $ = 2.5% of $ = $7000 remainder = $ $ = $ Prevocational Mathematics

33 Topic 3 Earning money Unit A Workbook commission on remainder = 2% of remainder = 0.02 x $ = $400 total commission = $ $400 = $7400 Susan s commission is $7400. (b) commission on first $ = 2.5% of $ = $7000 remainder = $ $ = $ commission on remainder = 2% of remainder = 0.02 x $ = $2400 total commission = $ $2400 = $9400 Susan s commission is $9400. (c) Susan s sale is less than $ so there will be no remainder. commission = 2.5% of $ = x $ = $6250 Susan s commission is $6250. Prevocational Mathematics 31

34 Unit A Workbook Topic 3 Earning money Exercise 8 1. (a) earnings = retainer + 15% of sales = $ x $680 = $202 Helga earned $202 for the week. (b) earnings = retainer + 15% of sales = $ x $1050 = $ Helga earned $ for the week. 2. (a) commission on first $ = 2.5% of $ = $ = $8750 remainder = $ $ = $ commission on remainder = 2% of remainder = 0.02 x $ = $2600 total commission = $ $2600 = $ total earnings = retainer + commission = $500 + $ = $ Helen s commission for July is $ Prevocational Mathematics

35 Topic 3 Earning money Unit A Workbook (b) For the first house: commission 1 = 2.5% of $ = x $ = $4000 For the second house: commission on first $ = 2.5% of $ remainder = $ $ = $ = $8750 commission on remainder = 2% of remainder = 0.02 x $ = $200 commission 2 = $ $200 = $8950 total earnings = retainer + commission 1 + commission 2 = $500 + $ $8950 = $ Helen s total earnings for the month of August is $ (c) If Helen didn t sell any houses, she won t receive any commission but she will still receive the retainer. Helen s earnings for the month of September = $500 Prevocational Mathematics 33

36 Unit A Workbook Topic 3 Earning money Exercise 9 1. (a) income = pay per box x no. of boxes = $1.80 x 120 = $216 Adele will earn $216 for the day. (b) no. boxes = amount to earn pay per box = $225 $1.80 = 125 boxes Adele will need to pack 125 boxes to earn $ (a) amount earned = pay per plate x no. of plates = 40c x150 = 6000c = $60 Paul will earn $60 for decorating 150 plates. (b) no. of plates = amount to earn pay per plate = $100 $0.40 = 250 plates Paul will need to decorate 250 plates to earn $100. (Remember to divide dollar amount by dollar amount to calculate the number of plates.) 34 Prevocational Mathematics

37 Topic 3 Earning money Unit A Workbook 3. (a) no. of boxes = amount to make pay per box (b) = $50 $4.60 = boxes Ben will need to pack 11 boxes to make $50. (Round $10.86 up to the next whole number. If Ben packs 10 boxes he will make only $46. If he packs 11 boxes he will make $50.60.) Day No. boxes Earnings ($) Monday Tuesday Wednesday Thursday Friday Saturday Total earnings Ben earned $391 for the week (a) amount earned = pay per scarf x no. of scarves = $2 x 80 = $160 Deian will earn $160 for making 80 scarves. (b) amount earned = pay per scarf x no. of scarves = $2 x 100 = $200 Deian will earn $200 for making 100 scarves. Prevocational Mathematics 35

38 Unit A Workbook Topic 3 Earning money (c) amount earned for first 100 = $2 x 100 = $200 no. in excess of 100 = = 30 scarves amount earned for excess = $2.20 x no. in excess = $2.2 x 30 = $66 total earned = $200 + $66 = $266 Deian will earn $266 for making 130 scarves. (d) amount earned for first 100 = $2 x 100 = $200 no. in excess of 100 = = 80 scarves amount earned for excess = $2.20 x no. in excess = $2.2 x 80 = $176 total earned = $200 + $176 = $376 Deian will earn $376 for making 180 scarves. (e) amount earned for first 100 = $2 x 100 = $200 no. in excess of 100 = = 100 scarves amount earned for excess = $2.20 x no. in excess = $2.2 x 100 = $ Prevocational Mathematics

39 Topic 3 Earning money Unit A Workbook total earned = $200 + $220 = $420 Deian will earn $420 for making 200 scarves. Exercise 10 Normal hourly rate 1. Time-and-a-half (x 1.5) Penalty rates Double-time (x 2) Double-time-anda-half (x 2.5) $5.80 $8.70 $11.60 $14.50 $8.30 $12.45 $16.60 $20.75 $11.74 $17.61 $23.48 $29.35 $13.93 $20.90 $27.86 $ (a) penalty rate = normal hourly rate x 1.5 = $5.90 x 1.5 = $8.85 pay = penalty rate x no. of hours worked = $8.85 x 3 = $26.55 Lynn will be paid $26.55 for 3 hours work at timeand-a-half. (b) penalty rate = normal hourly rate x 2 = $9.45 x 2 = $18.90 pay = penalty rate x no. of hours worked = $18.90 x 6 = $ Lynne will be paid $ for 6 hours work at double-time. Prevocational Mathematics 37

40 Unit A Workbook Topic 3 Earning money Hourly rate $ Penalty rate double-time-anda-half Hourly penalty rate Hours worked on penalty rate Earnings on penalty rates $ $43.80 $11.42 time-and-a-half $ $85.65 $12.19 double-time-anda-half $ (See note) 7 $ (See note) Note: The hourly penalty rate for the amount in the last row of question 3 has three decimal places. This is the rate used to calculate the total amount you would earn. The total earned (in this case $ ) is then rounded to two decimal places to give the answer $ (a) money earned at normal rate = $9.46 x 18 = $ Heather earned $ for the 18 hours at normal time. (b) hourly rate for time-and-a-half = normal rate x 1.5 = $9.46 x 1.5 = $14.19 money earned at penalty rate = $14.19 x 2 = $28.38 Heather earned $28.38 for the 2 hours overtime. (c) total gross weekly earnings = $ $28.38 = $ Heather s gross earnings for the week are $ Prevocational Mathematics

41 Topic 3 Earning money Unit A Workbook 5. (a) earnings at normal rate = $11.15 x 20 = $223 hourly rate at time-and-a-half = $11.15 x 1.5 = $16.73 (rounded) money earned at time-and-a-half = x 5 hourly rate at double time = $11.15 x 2 = $22.30 = $83.65 money earned at double time = $22.30 x 2 = $44.60 gross earnings for the week = $223 + $ $44.60 = $ David s gross pay for the week is $ (b) net pay = gross pay income tax Exercise 11 = $ $49.48 = $ David s net pay for the week is $ (a) holiday loading = % of normal wage = x $ = $69.72 Draco will receive an extra $69.72 in his weekly pay. Prevocational Mathematics 39

42 Unit A Workbook Topic 3 Earning money (b) holiday pay = normal pay + holiday loading = $ $69.72 = $ Draco s weekly pay during his holiday will be $ (c) pay for 4 weeks = weekly pay x 4 = $ x 4 = $ Draco s pay for 4 weeks holiday will be $ holiday loading = 17½% of normal wage = x $ = $ (to nearest cent) holiday pay = normal pay + holiday loading = $ $ = $ Ron s pay during his holiday will be $ for the fortnight. 40 Prevocational Mathematics