Equation n = 0.32 • 40

Use an equation to solve: 32% of 40 is what number?

COURSE 2 LESSON 6-6COURSE 2 LESSON 6-6

n = 0.32 • 40 = 12.8 Simplify.

6-6

Solving Percent Problems Using Equations

Words A number is 32% of 40.

Let n = the number.

Use an equation to solve: 18% of what number is 81?

COURSE 2 LESSON 6-6COURSE 2 LESSON 6-6

0.18n 81 0.18 0.18= Divide each side by 0.18.

n = 450 Simplify.

6-6

Solving Percent Problems Using Equations

Equation 0.18 • n = 81

Words 18% of a number is 81.

Let n = the number.

Let p = the percent.

Words A percent of 200 is 45.

Use an equation to solve: What percent of 200 is 45?

COURSE 2 LESSON 6-6COURSE 2 LESSON 6-6

200p 45 200 200= Divide each side by 200.

p • 200 = 45Equation

p • 200 = 45

Simplify. 200p = 45

p = 0.225 Use a calculator.

p = 22.5% Write the decimal as a percent.

6-6

Solving Percent Problems Using Equations

Write and solve an equation.

1. 6% of 38 is what number?

2. 40% of what number is 24?

3. What percent of 52 is 13?

4. 96% of what number is 240?

COURSE 2 LESSON 6-6COURSE 2 LESSON 6-6

n = 6% • 38; 2.28

24 = 40% • n; 60

13 = n% • 52; 25%

240 = 96% • n; 250

6-6

Solving Percent Problems Using Equations