Through this pdf, you will learn some of the percentage problems with their solutions.
1. Percent Word Problems Ratio and proportion method Here are several aids that will help you solve word problems: 1. Make sure you understand the question that is asked 2. Sort out the information to make a basic percent problem, such as “30% of what is 17?” 3. Sometimes, you will have to subtract or add some of the numbers. 4. The base will always be the original number, price, or total. Some examples of percent word problems. A baseball pitcher won 80% of the games he pitched. If he pitched 35 ballgames, how many games did he win? 80% of 35 is what? 1. Multiply the opposites 80 x 35 = 2800 80 2. Divide by the remaining number 100 35 28 100 2800 28 games Jerry, an electrician, worked 7 months out of the year. What percent of the year did he work? (round answer to the nearest hundredth) What percent of 12 is 7? 12 months = 1 year 1. Multiply the opposites 7 7 x 100 = 700 100 12 2. Divide by the remaining number 58.33 12 700.00 58.33% (rounded to hundredth) Percent Word Problems Handout Revised @2009 MLC page 1 of 8
2. Sometimes the information needed to solve a percent word problem is not stated directly. You will need to sort out the numbers given in the problem. Organizing all the information into a box format will help you see what numbers you have and what you need. Some examples. There are 28 students in a class. Sixteen of those students are men. What percent of the class are women? (Round to the nearest tenth) Men % 16 28 total students Women % 12 -16 men Total 100% 28 12 women 12 is what % of 28? 1. Multiple the opposites 100 x 12 = 1200 12 2. Divide by the remaining number 100 28 42.85 28 1200.00 42.9% ` Donovan took a math test and got 35 correct and 10 incorrect answers. What was the percentage of correct answers? (Round to the nearest hundredth) Correct answers % 35 35 correct answers Incorrect answers % 10 +10 incorrect answers Total answers 100% 45 45 total answers 35 is what % of 45? 1. Multiple the opposites 35 100 x 35 = 3500 2. Divide by the remaining number 100 45 77.777 45 3500.000 77.78% (rounded to hundredth) Percent Word Problems Handout Revised @2009 MLC page 2 of 8
3. Percent Word Problems Directions: Set up a basic percent problem. Sometimes you will have to do extra steps to solve the problem. Follow rounding directions. Answers and solutions start on page 6. 1) A student earned a grade of 80% on a math test that had 20 problems. How many problems on this test did the student answer correctly? (round to the nearest whole number) 2) There are 36 carpenters in a crew. On a certain day, 29 were present. What percent showed up for work? (round to the nearest tenth) 3) A metal bar weighs 8.15 ounces. 93% of the bar is silver. How many ounces of silver are in the bar? (round to the nearest thousandth) 4) A woman put $580 into a savings account for one year. The rate of interest on the account was 6½%. How much was the interest for the year in dollars and cents? (Round to the nearest cent) Percent Word Problems Handout Revised @2009 MLC page 3 of 8
4. 5) A student answered 86 problems on a test correctly and received a grade 98%. How many problems were on the test, if all the problems were worth the same number of points? (Round to the nearest whole number) 6) Manuel found a wrecked Trans-Am that he could fix. He bought the car for 65% of the original price of $7200. What did he pay for the car? (Round to nearest dollar) 7) Pamela bought an electric drill at 85% of the regular price. She paid $32.89 for the drill. What was the regular price? (Round to the nearest cent) 2 8) A crew is made up of 8 men; the rest are women. 66 % of 3 the crew are men. How many people are in the crew? 9) Ben earns $12,800 a year. About 15% is taken out for taxes. How much is taken out for taxes? Percent Word Problems Handout Revised @2009 MLC page 4 of 8
5. 10) At a sale, shirts were sold for $15 each. This price was 80% of their original price. What was the original price? 11) There are 32 students in a class. Nine of those students are women. What percent are men? (round to the nearest tenth) 12) The Royals softball team played 75 games and won 55 of them. What percent of the games did they lose? (round to the nearest tenth) Percent Word Problems Handout Revised @2009 MLC page 5 of 8
6. Answer Key 80 Multiply the opposites: 100 20 80 x 20 = 1600 Divide by the remaining number: 16 100 1600 16 problems 29 Multiply the opposites: 100 36 29 x 100 = 2900 Divide by the remaining number: 80 .55 36 2900 .00 80.6% 93 Multiply the opposites: 100 8.15 93 x 8.15 = 757.95 Divide by the remaining number: 7.5795 100 757 .9500 7.580 ounces 61 Multiply the opposites: 4. 2 100 580 6 ½ x 580 = 3770 Divide by the remaining number: 37 .70 100 3770 .00 $37.70 98 86 Multiply the opposites: 100 100 x 86 = 8600 Divide by the remaining number: 87 .7 98 8600 .0 88 problems (rounded to nearest whole) Percent Word Problems Handout Revised @2009 MLC page 6 of 8
7. 65 Multiply the opposites: 100 7200 65 x 7200 = 468,000 Divide by the remaining number: 4680 100 468000 $4680 85 32.89 Multiply the opposites: 100 100 x 32.89 = 3289 Divide by the remaining number: 38 .694 85 3289 .000 $38.69 66 2 8 Multiply the opposites: 8. 3 100 x 8 = 800 100 Divide by the remaining number: 4 800 200 800 3 12 800 66 2 3 1 3 1 200 1 12 1 15 Multiply the opposites: 100 12,800 15 x 12,800 = 192,000 Divide by the remaining number: 1920 100 192000 $1920 80 15 Multiply the opposites: 100 100 x 15 = 1500 Divide by the remaining number: 18 .75 80 1500 .00 Percent Word Problems Handout Revised @2009 MLC page 7 of 8
8. $18.75 Total 100% 32 32 Men 23 9 Women 9 23 23 Multiply the opposites: 100 32 100 x 23 = 2300 Divide by the remaining number: 71.87 32 2300.00 71.9%(rounded to nearest tenth) Total 100% 75 75 Won 55 55 Lost 20 20 20 Multiply the opposites: 100 75 100 x 20 = 2000 Divide by the remaining number: 26.667 75 2000.000 26.7% games lost (rounded to tenth) Percent Word Problems Handout Revised @2009 MLC page 8 of 8
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