Envision Math 2.0: Grade 7, Volume 1
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Envision Math 2.0: Grade 7, Volume 1 View details
3. Represent and Use the Percent Equation
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Exercise 7 Page 153

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

86 %

Practice makes perfect
We want to find what percent of voters would vote the same way again. To do so, we will use the percent equation. part = percent * whole We are told that in survey of 500 voters, 430 said they would vote for the same candidate again. Let's draw a bar diagram to represent the problem. In the diagram, p will represent the desired percent.
The bar diagram
Now we will apply the percent equation to the given situation. part = percent * whole [0.4em] ↓ [0.4em] 430 = p * 500 Next, we will solve the equation that we got for p. To do so, we will use the Division Property of Equality.
430=p* 500
430/500=500p/500
430/500=500p/500
430/500=p
0.86 =p
p =0.86
We got that p= 0.86 is a solution to the equation. To write the decimal as a percent, we need to move the decimal point two places to the right and write the percent symbol. 0.86 = 86 % We found that 86 % of the voters would vote the same way again.