Name KEY Period ______ Proportions and Percents Exam Review ANSWERS Question Proportion Answer 1. Mrs. Torres planted 30 strawberry plants in her garden in April. By the end of June, 20% of the plants were infested with bugs. How many plants were NOT infested with bugs? 2. Yan’s manicure cost $25.90. She wants to leave a 15% tip. Which of the following is closest to the amount of the tip she wants to leave? 3. Sue made a batch of snack mix for the party. She combined 12 ounces of mixed nuts, 20 ounces of cereal, and 8 ounces of pretzels. What percent of the snack mix are pretzels? x 80 30 100 D 24 x 15 25.90 100 C $4.00 8 x 40 100 C 20% 30.60 x 390.60 100 A 7.8% 4. Mr. Wilson bought 4 tires for $390.60. If each tire cost $90 before tax was added, what tax rate did he pay on the tires? 5. Greg earns a salary of $300 per week plus an additional 6% commission on his sales. If his weekly salary increases by $50 and his commission increases to 7%, how much will Greg earn if his weekly sales are $4,000? 6. Marcie saved $21.60 when she purchased a sweater on sale. If the sale price was 60% off the regular price, what was the regular price of the sweater? x 7 4000 100 D $630 280 350 630 21.60 60 x 100 C $36.00 7. Julianne went to a hair salon for a haircut. The cost of the haircut was $45. If she tipped the stylist 15% of the cost of the haircut, how much money did Julianne spend at the hair salon? x 15 45 100 6.75 45 51.75 8. Daryl saved $25 when he purchased a pair of tennis shoes on sale. If the sale price was 35% off the regular price, what was the regular price of the tennis shoes? 25 35 x 100 9. Which of the following represents the greatest percent of change? 152 76 1 76 A A calf that weighed 76 pounds at birth now weighs 152 pounds. 250 225 0.1111 225 B A person whose commission was $225 last week earned a commission of $250 this week. C A basketball player who played for 20 minutes in the first game played for 15 minutes in the last game. D A runner who ran 12 miles each day last month now runs 16 miles each day. 10. Mira read 55 books last year and wrote reports on 47 of them. Which best represents the percent of books Mira read that she did NOT write reports on? A $71.43 A A calf that weighed 76 pounds at birth now weighs 152 pounds. 15 20 0.25 20 16 12 0.3333 12 8 x 55 100 D 15% Journal: Bolda Cola sells at 5 for $3. How much would it cost to purchase 27 cans of Bolda Cola? Write four different proportions for the problem above. Show that the answer to the problem is the same no matter which proportion you use. Explain the procedures you would use to solve the proportions you wrote. Pick one proportion and solve it. BC 5 27 BC $ 3 x $ x $16.20 $ 3 x $ BC 5 27 BC x $16.20 $ 3 5 BC $ x 27 BC x $16.20 BC 27 x $ BC 5 3 $ x $16.20 Students should be able to write 4 different proportions comparing each of the different ratios. Students will need to solve each of the 4 proportions, showing their work and scale factor. By solving each proportional equation, students will prove the answer to each problem is the same. Students then will pick one of the proportional equations and provide a detailed explanation (in words) of how they solved the problem.