Glencoe Math: Course 2, Volume 1
GM
Glencoe Math: Course 2, Volume 1 View details
4. The Percent Equation
Continue to next subchapter

Exercise 21 Page 135

To solve problems that involve percent, use the percent equation.

Equation: 1.45 = 0.33* w
Solution: w ≈ 4.4

Practice makes perfect

Let's start by recalling that we can use the percent equation to solve problems that involve percent. Percent Equation [0.3em] part = percent * whole In this case, we want to find the number of which 33 % is 1.45, which means that we want to find the whole. Let w represent the whole. 1.45 = 33 % * w Before we can solve the equation that we got, we need to write the percent as a decimal. We can write a percent as a decimal by ignoring the percent symbol and moving the decimal point two places to the left.

percent as decimal: 0.33

We got that 33 % is equal to 0.33. 1.45 = 33 % * w [0.3em] ↓ [0.3em] 1.45 = 0.33 * w Finally, let's solve the equation for w. To do so, we will use the Division Property of Equality.

1.45=0.33 * w
1.45/0.33=0.33w/0.33
1.45/0.33=0.33w/0.33
1.45/0.33=w
4.393939... = w
4.4≈ w
w ≈ 4.4

We found that w≈ 4.4 is a solution to the equation. This means that 1.45 is 33 % of about 4.4.