Warm-Up. How does a calendar help a student? A parent? Solve. 1.) 4x + 44 = 5x ) 4x 44 = 5x ) 4x 44 = 5x

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1 Warm-Up Solve. 1.) 4x + 44 = 5x ) 4x 44 = 5x ) 4x 44 = 5x 55 4.) 4x + 44 = 5x 55 How does a calendar help a student? A parent?

2 Warm-Up Solve. 1.) 4x + 44 = 5x + 55 {-11} 2.) 4x 44 = 5x + 55 {-99} 3.) 4x 44 = 5x 55 {11} 4.) 4x + 44 = 5x 55 {99} A calendar is essentially a chart that helps organize pieces of information. In today s lesson, we will utilize charts to organize pieces of information from a word problem.

3 Homework Questions?

4 Section 3-6 Problem Solving: Using Charts

5 Objective I want to be able to organize the facts of a problem in a chart.

6 Example 1 One board is 4 in. wide and 8 in. longer than a board 2 in. wide. Width Length 1 st board 4 x nd board 2 x

7 Example 2 Jess bought some boxes of lemonade at seventy cents per box. He bought eight fewer boxes of punch at sixty cents per box. # of boxes Cents per box Cost Lemon. x 70 70x Punch x (x 8)

8 Example 3 Carrie has 40 more nickels than Joan has dimes. They both have the same amount of money. How many coins does each girl have? Step 1: the problems asks to find the number of coins each girl has Step 2: Let x = number of coins

9 Example 3 continued # of Coin Total Coins Value Value Carrie 40 + x 5 5(40 + x) Joan x 10 10x

10 Example 3 Continued Step 3: Use the equation 5(40 + x) = 10x Step 4: Solve 5(40 + x) = 10x x = 10x 200 = 5x x = 40 Joan has 40 dimes, and Carrie has 80 nickels.

11 Step 5: Check Example 3 Continued 10x = 10(40) = 400 5(40 + x) = 5( ) = 5(80) = 400 Both girls have the same amount of money.

12 Section 3-7 Cost, Income, and Value Problems

13 Objective I want to be able to solve problems involving cost, income, and value.

14 How do you figure those out? Cost = number of items ( price per item ) Income = hours worked ( wage per hour ) Total value = number of items ( value per item)

15 Example 1 An apple sells for 25 cents and a peach sells for 15 cents. A total of 10 pieces of fruit were sold for a total cost of $2.10. How many apples were sold? Step 1: the problems asks to find the number of apples that were sold Step 2: Let x = number of fruit

16 Example 1 An apple sells for 25 cents and a peach sells for 15 cents. A total of 10 pieces of fruit were sold for a total cost of $2.10. How many apples were sold? # of Price Cost fruit Apple x x Peach 10 x (10 x)

17 Example 1 continued Step 3: The only fact not recorded on the chart is that 10 pieces of fruit were sold for $2.10. Write an equation using this fact. 0.25x (10 x) = 2.10

18 Example 1 Continued Step 4: Solve 0.25x (10 x) = x x = x = x = 0.6 x = 6 6 apples were sold.

19 Step 5: Check Example 1 Continued 0.25x = 0.25(6) = (10 x) = 0.15(10 6) = 0.15(4) = 0.6 The sum of cost of the apples, $1.50, and the cost of the peaches, $0.60, is $2.10.

20 Solve. Use a chart. Try These! 1.) A stalk of celery contains 7 calories and a carrot contains 20 calories. A total of 45 carrots and celery stalks contain a total of 575 calories. How many carrots are there?

21 Try These #1 # of stalks # of calories Total Celery 45 x x Carrot x 20 20x (315 7x) + 20x = carrots

22 Solve. Use a chart. And These! 2.) Coria and Kip went to the record store during its sale. Together they spent $ If each record cost $3.50 and Kip bought one more than Coria, how many records did each buy?

23 Try These #2 # of records Price per record Cost Coria r r Kep r (r + 1) (3.5r) + (3.5r + 3.5) = Coria bought 5 records. Kip bought 6 records.

24 Solve. Use a chart. Try These! 3.) Find how much Kate earned if her earnings were $27 more than the combined earnings of Janet and David. Janet worked 3 h more than David and 7 h less than Kate. David earned $7.50/h, Janet $6/h, and Kate $9/h.

25 Try These #3 Hours Worked Wage Total Janet x x + 18 David x x Kate x x x + 90 = [(6x + 18) + (7.5x)] Kate earned $180.00

26 What about these? Pg. 122 Oral Exercises #1 3 Pg. 127 Oral Exercises # 1-2

27 What about these? Pg. 122 Oral Exercises #1 3 1a. w 13 1b. w m, 2m 10, m x + 1, 10(x + 1), 12, 12x

28 What about these? Pg. 127 Oral Exercises # , 6s, 12 s, 5, 5(12 s) 6s + 5(12 s) = , 1, 50, 50 x, 14, 14(50 x), 22, 22x (50 x) + 22x = 990

29 Clear your calculators! Take out your agendas! Copy down DUE DATES! Homework: Section 3.6 Section 3.7

30 Journal Entry TOPIC: Using Charts Answer the following question: Copy the chart and interpret the information that is given by creating a word problem. # of itunes downloads Price per download Total Samantha d d Caroline d (d + 5)