Glencoe Math: Course 2, Volume 1
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Glencoe Math: Course 2, Volume 1 View details
4. The Percent Equation
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Exercise 2 Page 133

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

Equation: 84 = 0.6* w
Solution: w = 140

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 60 % is 84, which means that we want to find the whole. Let w represent the whole. 84 = 60 % * 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: 0.60

We got that 60 % is equal to 0.60 or 0.6. 84 = 60 % * w [0.3em] ↓ [0.3em] 84 = 0.6 * w Finally, let's solve the equation for w. To do so, we will use the Division Property of Equality.

84=0.6 * w
84/0.6=0.6w/0.6
84/0.6=0.6w/0.6
84/0.6=w
140=w
w=140

We found that w= 140 is a solution to the equation. This means that 84 is 60 % of 140.