Big Ideas Math: Modeling Real Life, Grade 7
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3. The Percent Equation
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Exercise 26 Page 252

The percent equation is an equation in which the part is equal to the product of the corresponding percent and the whole.

Rutledge was 26 years old.

Practice makes perfect
We are told that Rutledge was x years old. We also know that x is 25% of 104. Recall that the percent equation is an equation in which the part is equal to the product of the corresponding percent and the whole. We can represent a is p percent of wwith the following equation. a= p% * wWe can find what 25% of 104 is by substituting p%= 25100 and w= 104 into the formula and solve for a using the Properties of Equality.
a= p% * w
a= 25/100 * 104
Solve for a
a=25* 104/100
a=2600/100
a= 26
Knowing the value of a, let's look at the completed percent equation. 26= 25% * 104 We found that 26 is 25 % of 104. This means that Rutledge was 26 years old.

Checking Our Answer

Checking Our Answer

We can use a model to check our answer.