Unit 9 Percents. Sections
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1 Name: Per: Week #34 Guides Notes and Homework Unit 9 Percents Sections Learning Objectives: -Solve and write percent equations and problems. -Find percent of increase and decrease. Points Earned Homework: /100 Class Work: /50 -Find mark ups, discounts, commission, and interest.
2 4/22/13 Warm-Up 1. Rewrite as a percent: (a) (b) 3. It took you 2.5 hours to complete your homework last night and 1.5 hours to complete it the night before. Altogether, how many minutes did it take you to complete your homework? 2. Rewrite as a fraction: (a) 8% (b) 108% Proportion: = Finding a PERCENT (part of 100): 1). What percent of 15 is 6? Finding a PART of a whole: 2). What is 45% of 60? or 45% of 60 is what? Finding a WHOLE amount: 3). 49 is 7% of what number? or 7% of what number is 49?
3 Homework #29 Show your work; Keep your work NEAT & ORGANIZED. Frame your answers. First, write down if you are finding a PERCENT, a PART of a whole, or a WHOLE amount. Then, draw a picture representing the word problem. Lastly, write a proportion and solve to find the missing value. 1. What percent of 40 is 12? 2. What is 65% of 24? 3. 16% of what number is 12? 4. What percent of 25 is 13? 5. What is 18% of 150? is 35% of what number?
4 4/23/13 Warm-Up 1. Rewrite as a percent. 2. Rewrite as a fraction. (a) (b) 0.7 (a) 96% (b) 180% #3-5: First, identify if you are finding a PERCENT, a PART, or a WHOLE. Second, write a proportion and solve for the missing value. 3. What percent of 25 is 13? 4. What is 45% of 80? is 35% of what number? Percent of Change: % of Increase and % of Decrease Finding a percent of change: Hint: Write a fraction as a. 1). You received 50 points on the test and 90 points on the makeup test. Find the percent of increase. 2). The price of a skateboard is marked down from $60 to $48. Find the percent of decrease. 4
5 Homework #30 Show your work; Keep your work NEAT & ORGANIZED. Frame your answers. 1. Find the percent of increase from 35 to Find the percent of increase from 72 to The price of a cell phone is marked up from $50 to $66. Find the percent of increase. 4. The temperature in the desert rose from 100 degrees to 113 degrees. Find the percent of increase. 5. Find the percent of decrease from 60 to Find the percent of decrease from 56 to The amount of time it took you to run 3 miles dropped from 30 minutes to 24 minutes. Find the percent of decrease in your time. 8. The price of a video game was marked down from $50 to $41. Find the percent of decrease. 5
6 Finding Discounts (Day 1) Discount: The amount of price when an item goes on sale. Ex 1. If the original price is $20 and the sale price is $15 then the discount is. Percent of Discount: The amount decreased written as a (percent of change). Ex2. A $65 video game is on sale for 35% off. a). Find the discount amount (Hint: What is 35% of 65?) b). Find the sale price (Original price discount= ) Ex3. A $19.50 hat is on sale for 25% off. a). Find the discount amount (Hint: What is 25% of 19.50?) b). Find the sale price (Original Price discount+ ) 6
7 Homework #31 Show your work; Keep your work NEAT & ORGANIZED. Frame your answers. 1st: Find the DISCOUNT amount. Hint: What is % of? 2nd: Find the SALE PRICE. 1. Pants priced at $21 are marked 15% off. 2. A pair of shoes that regularly sell for $84 are on sale for 25% off. 3. The regular price of a book is $8.40. There is a 5% discount on the book. 4. A $14.50 shirt is on sale for 10% off. 5. A video game that sells for $32 is marked 18% off. 7
8 4/25/13 Warm-Up 1. The price of a pair of shoes is marked up from $24 to $33. Find the percent of increase. #2-4: First, identify if you are finding a PERCENT, a PART, or a WHOLE. Second, write a proportion and solve for the missing value. 2. In a survey, 20% of the people said they don't eat candy. If 20% represents 17 people, how many people were surveyed? (Hint: 20% of what number is 17?) 3. You received $40 in allowance last month and spent $12 of it at the mall. What percent of your allowance did you spend? (Hint: What percent of 40 is 12?) 4. Daniel owns 52 video games. He sold 20% of them to his friends. How many games did he sell? (Hint: What is 20% of 52?) 8
9 Finding Mark Ups Mark Up: The amount a store an item in order to make a profit. Ex1. If a store buys a book for $8 but sells it for $14, then the mark up amount is. Percent of Mark Up: The amount written as a percent (same as percent of change). Ex2. A clothing store pays $56 for a coat and then sells the coat with a 45% markup. a). Find the markup amount (Think: What is of? b). Find the selling price (Original price + markup price= ) 9
10 Homework #32 Show your work; Keep your work NEAT & ORGANIZED. Frame your answers. 1st: Find the MARKUP amount. **Hint: What is % of? 2nd: Find the SELLING PRICE. 1. An electronics store purchases a dvd player for $ The store sells it to their customers with a 60% markup. 2. A clothing store pays $15 for a shirt. The percent of markup is 85%. 3. A computer store pays $6 for a computer mouse. The percent of markup is 75%. 4. A $5.20 baseball cap has a 70% markup. 5. A $53 dollar jacket has a 45% markup. 10
11 Simple Interest Interest a payment for the use of money. Three things determine interest: Principal money that you borrow or loan Rate percent all percents must be changed to decimals Time must be converted to years Formula: I = PRT (Interest equals Principal times Rate times Time) Ex. 1 Find the interest if you borrow $5,000 at 9% for three years. I = PRT I = ( )( )( ) I = Ex. 2 Find the interest of an $1,800 investment at 7.5% for two years. Ex. 3 Find the total amount of the investment from #2. Ex. 4 You invest $750 at 12% for 6 months. Find the total amount. To convert months to years, divide by. Ex. 5 Change the following months to years: 3 months, 18 months, 30 months, 9 months. Ex. 6 What is the total amount you have to pay back if you borrow $15,000 to buy a car at 5.4% for 5 years? 11
12 Homework #33 Show your work; Keep your work NEAT & ORGANIZED. Frame your answers. Use the formula Interest = (Principal)(Rate)(Time) to find the interest on each investment. 1. $100 at 6% for 2 years. 5. $1,000 at 10% for 6 months. (6 months = 0.5 year) 2. $275 at 7% for 1 year. 6. $800 at 9% for 3 months. 3. $300 at 8% for 3 years. 7. $750 at 7% for 5.5 years. 4. $550 at 5% for 2 years. 8. $5,000 at 9.5% for 3 years. 12
13 9. Roger invested $1,200 at 5% simple interest for three years. a. How much interest did he earn? b. What is the total amount of his investment? 10. Matt invested $500 at 7% simple interest for 6 months. What is the total amount of his investment? 11. Sally borrowed $850 at 16% simple interest for 9 months. How much interest must she pay back? 12. Danielle invested $150 at 8% simple interest. What is the total amount of the investment after 30 months? 13
14 UNIT 9 TEST REVIEW 1. A pair of jeans costs $28. What is the sale price if they are on sale for 25% off? 2. A jacket costs $86.00 and is marked down 15%. What is the sale price? 3. If a television that is usually priced $450 is on sale for $315, then what is the percent of discount? 4. Tami receives a commission when she sells stereo equipment. The commission is a percent of her total sales. She sold an $800 stereo one day. If her commission was 10% of her total sales, how much did she make in commission. 5. A motorized scooter costs $220. What is the sale price if it is on sale for 20% off? 6. A lunch bill for two comes to $ You want to leave a tip that is about 15% of the bill. About how much should you leave for a tip? 14
15 7. Kodak Camera had a tripod sale. If 80% of the 60 tripods sold, how many did not sell? 8. If a $450 suit is on sale for $360, then what is the percent of change? 9. Find the percent of change from $125 to $ The number of students receiving A's increased from 8 students to 15. Find the percent of change. #11-13: First, identify if you are finding a PERCENT, a PART, or a WHOLE. Second, write a proportion and solve for the missing value. 11. Last year 32% of the 6th graders were in team rainforest. If there were 62 students in team rainforest, how many 6th graders were there last year? Round to the nearest whole number. (Hint: 32% of what number is 62?) 15
16 12. You received a score of 13 out of 15 on the unit 8 test. What percent did you receive? (Hint: What percent of 15 is 13?) 13. (a) 50% of what number is 20? (b) What is 75% of that number? 14. The temperature dropped over night from 64º to 52º. What is the percent of change? 15. Sam had 50 coins in his coin collection. He gave 24% of them away. How many coins did he give away? (Hint: What is 24% of 50?) 16. You had a coupon to take 15% off your total purchase. If your total came to $14.80 before the coupon, how much did you pay after the coupon was applied? (Hint: First, find what is 15% of and then find the sale price). 17. A $38 pair of shoes is on sale for 45% off. What is the discount amount? (Hint: What is 45% of 38?) 16
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