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Solving Percent Problems Using Equations Help

based on 9 ratings
By — McGraw-Hill Professional
Updated on Sep 22, 2011

Solving Percent Problems Using Equations

In this section, you will see that percent problems can be solved using equations. Percent problems can also be solved using circles or proportions.

To solve a percent problem, write an equation using the numbers and the word "of" as multiplication and the word "is" as an equal sign. The words "what number" or "what percent" translate to a variable such as x. Then solve the equation for x .

Examples

Example 1

42% of 500 is what number?

Solution 1

Translate the statement into an equation:

Solving Percent Problems Using Equations

Solve the equation for x:

Solving Percent Problems Using Equations

(Be sure to change the percent to a decimal before multiplying.)

Example 2

15 is what percent of 60?

Solution 2

Solving Percent Problems Using Equations

Example 3

90% of what number is 36?

Solution 3

90% of what number is 36?

Solving Percent Problems Using Equations

Solving Percent Problems Using Equations Practice Problems

Practice

Solve each percent problem using an equation:

1. 54% of 105 is what number?

2. 72% of what number is 360?

3. 55 is what percent of 440?

4. 6% of 88 is what number?

5. 35 is what percent of 350?

Answers

1. 56.7

2. 500

3. 12.5%

4. 5.28

5. 10%

Practice problems for this concept can be found at: Expressions And Equations Practice Test.

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