CHAPTER Chapter Review 6 6-1 Relating Decimals, Fractions, and Percents Compare. Write , , or . 1 1. 5 25% 2. 0.42 41% 3. 0.075 1 72% 6-2 Estimating with Percents Estimate. 4. 75% of 195 5. 49% of 19 6. 40% of 219 7. A grade school has 407 students. Approximately 41% of the students walk to school. Estimate how many students walk to school. 6-3 Finding Percents Find each number to the nearest tenth. 8. What is 35% of 340? 9. What percent of 80 is 18? 10. A son earns 62% of what his father earns. If the son earns $52,000, how much does his father earn to the nearest dollar? 6-4 Finding a Number When the Percent Is Known Find each number to the nearest whole number. 11. 13 is 52% of what number? 12. 11 is 12.5% of what number? 13. An elephant can run 36% as fast as a cheetah. If a chetah can run 70 mph, how fast can an elephant run to the nearest whole number? 14. A quarterback completed 54% of his passes for the season. If he threw 369 passes in the season, how many passes did he complete to the nearest whole number? Copyright © by Holt, Rinehart and Winston. All rights reserved. 132 Holt Mathematics CHAPTER Chapter Review 6 6-1 Relating Decimals, Fractions, and Percents Compare. Write , , or . 1 1. 5 25% 2. 0.42 41% 3. 0.075 1 72% 6-2 Estimating with Percents Estimate. 4. 75% of 195 150 10 5. 49% of 19 6. 40% of 219 85 7. A grade school has 407 students. Approximately 41% of the students walk to school. Estimate how many students walk to school. 160 6-3 Finding Percents Find each number to the nearest tenth. 8. What is 35% of 340? 119 9. What percent of 80 is 18? 22.5% 10. A son earns 62% of what his father earns. If the son earns $52,000, how much does his father earn to the nearest dollar? $83,871 6-4 Finding a Number When the Percent Is Known Find each number to the nearest whole number. 11. 13 is 52% of what number? 25 88 12. 11 is 12.5% of what number? 13. An elephant can run 36% as fast as a cheetah. If a chetah can run 70 mph, how fast can an elephant run to the nearest whole number? 25 mph 14. A quarterback completed 54% of his passes for the season. If he threw 369 passes in the season, how many passes did he complete to the nearest whole number? 199 Copyright © by Holt, Rinehart and Winston. All rights reserved. 132 Holt Mathematics CHAPTER 6 REVIEW CONTINUED 6-5 Percent Increase and Decrease Find each percent increase or decrease to the nearest percent. 15. From 32 to 20 16. From 65 to 130 17. From 142 to 86 18. From 17 to 56 19. A television was marked 30% off. The original price was $1,999. What was the reduced price of the television? 20. Sales at a grocery store increase 22% during the month of December. If the monthly sales are usually $300,000, how much are the sales in December? 6-6 Applications of Percents Find each commission or sales tax to the nearest cent. 21. total sales: $16,000 commission: 3.75% 22. total sales: $21,500 sales tax: 6.75% 23. A realtor earns a 3% commission on each house sold. If a realtor sold two houses for $179,500 and $214,000, what was the total commission? 24. A car salesman earned $918.75 from a commission rate of 3.75% on the sale of a car. What was the price of the car? 6-7 Simple Interest Find the interest and total amount to the nearest tenth. 25. $650 at 4.5% per year for 4 years 26. $2,250 at 3% per year for 2 years 27. John borrowed $25,000 to fix his porch. The bank charged him a simple interest rate of 7.75%. How much will John owe if he pays the bank back in 5 years? Copyright © by Holt, Rinehart and Winston. All rights reserved. 133 Holt Mathematics CHAPTER 6 REVIEW CONTINUED 6-5 Percent Increase and Decrease Find each percent increase or decrease to the nearest percent. 15. From 32 to 20 16. From 65 to 130 decrease, 37.5% increase, 100% 17. From 142 to 86 18. From 17 to 56 decrease, 39% increase, 229% 19. A television was marked 30% off. The original price was $1,999. What was the reduced price of the television? $1,399.30 20. Sales at a grocery store increase 22% during the month of December. If the monthly sales are usually $300,000, how much are the sales in December? $366,000 6-6 Applications of Percents Find each commission or sales tax to the nearest cent. 21. total sales: $16,000 commission: 3.75% $600 22. total sales: $21,500 $1,451.25 sales tax: 6.75% 23. A realtor earns a 3% commission on each house sold. If a realtor sold two houses for $179,500 and $214,000, what was the total commission? $11,805 24. A car salesman earned $918.75 from a commission rate of 3.75% on the sale of a car. What was the price of the car? $24,500 6-7 Simple Interest Find the interest and total amount to the nearest tenth. 25. $650 at 4.5% per year for 4 years $117; $767 26. $2,250 at 3% per year for 2 years $135; $2,385 27. John borrowed $25,000 to fix his porch. The bank charged him a simple interest rate of 7.75%. How much will John owe if he pays the bank back in 5 years? $34,687.50 Copyright © by Holt, Rinehart and Winston. All rights reserved. 133 Holt Mathematics CHAPTER Big Ideas 6 Answer these questions to summarize the important concepts from Chapter 6 in your own words. 3 1. Explain how to convert 8 to a percent. 2. Explain how to solve “34 is 25% of what number?”. 3. Explain how to find the percent increase or decrease from 200 to 145. 4. Explain how to find the interest and total amount of $400 at 7.5% per year for 8 years. For more review of Chapter 6: • Complete the Chapter 6 Study Guide and Review on pages 312–314 of your textbook. • Complete the Ready to Go On quizzes on pages 292 and 308 of your textbook. Copyright © by Holt, Rinehart and Winston. All rights reserved. 134 Holt Mathematics CHAPTER Big Ideas 6 Answer these questions to summarize the important concepts from Chapter 6 in your own words. 3 1. Explain how to convert 8 to a percent. First convert the fraction to a decimal by dividing the numerator by 3 the denominator: 8 3 8 0.375. Then convert the decimal to a percent by multiplying by 100 and inserting a percent symbol: 0.375 100 37.5%. 2. Explain how to solve “34 is 25% of what number?”. Set up an equation to find the number: 34 25% n. Change the percent to a decimal: 34 0.25n. Divide both sides by 0.25: 0.25n 34 . Simplify: 136 n. 34 is 25% of 136. 0.25 0.25 3. Explain how to find the percent increase or decrease from 200 to 145. This is a percent decrease because 145 is less than 200. First find the amount of change: 200 145 55. Think: What percent is 55 of 55 amount of increase . Find the decimal 200? Set up the ratio: —————————— 200 55 original amount 0.275. Write as a percent: 0.275 27.5%. From 200 to form: 200 145 is a 27.5% decrease. 4. Explain how to find the interest and total amount of $400 at 7.5% per year for 8 years. Substitute known values into the formula I Prt, use 0.075 for 7.5%: I 400 0.075 8. Solve: I $240. Find the total amount using the formula: P I A: 400 240 $640. For more review of Chapter 6: • Complete the Chapter 6 Study Guide and Review on pages 312–314 of your textbook. • Complete the Ready to Go On quizzes on pages 292 and 308 of your textbook. Copyright © by Holt, Rinehart and Winston. All rights reserved. 134 Holt Mathematics
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