Percent Word Problems Handout: Solving Percentage Problems, Study notes of Mathematics

Examples and instructions for solving percent word problems using the ratio and proportion method. It includes step-by-step solutions for various scenarios, such as calculating the percentage of correct answers on a test or determining the percentage of men and women in a class.

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Percent Word Problems Handout
Revised @2009 MLC page 1 of 8
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?
35100
80
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
12
7
100
1. Multiply the opposites
80 x 35 = 2800
2. Divide by the remaining number
28
2800100
28 games
1. Multiply the opposites
7 x 100 = 700
2. Divide by the remaining number
58.33
700.0012
58.33% (rounded to hundredth)
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Percent Word Problems Handout

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?

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 80 x 35 = 2800
  2. Divide by the remaining number 28 100 2800 28 games
  3. Multiply the opposites 7 x 100 = 700
  4. Divide by the remaining number

12 700. 58.33% (rounded to hundredth)

Percent Word Problems Handout

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

Women % 12

Total 100% 28

12 is what % of 28?

`

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

Incorrect answers % 10

Total answers 100% 45

35 is what % of 45?

  1. Multiple the opposites 100 x 12 = 1200
  2. Divide by the remaining number

28 1200. 42.9%

28 total students

  • 16 men 12 women

35 correct answers +10 incorrect answers 45 total answers

  1. Multiple the opposites 100 x 35 = 3500
  2. Divide by the remaining number

45 3500. 77.78% (rounded to hundredth)

Percent Word Problems Handout

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)

8) A crew is made up of 8 men; the rest are women. 66

% of

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

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

Multiply the opposites: 65 x 7200 = 468, Divide by the remaining number: 4680 100 468000

Multiply the opposites: 100 x 32.89 = 3289 Divide by the remaining number:

  1. 694 85 3289. 000

662 Multiply the opposites: 100 x 8 = 800 Divide by the remaining number:

Multiply the opposites: 15 x 12,800 = 192, Divide by the remaining number: 1920 100192000

Multiply the opposites: 100 x 15 = 1500 Divide by the remaining number:

  1. 75 80 1500. 00

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Percent Word Problems Handout

Total 100% 32

Men 23

Women 9

Multiply the opposites: 100 x 23 = 2300 Divide by the remaining number:

32 2300.

71.9%(rounded to nearest tenth)

Total 100% 75

Won 55

Lost 20

Multiply the opposites: 100 x 20 = 2000 Divide by the remaining number:

75 2000.

26.7% games lost (rounded to tenth)