Big Ideas Math: Modeling Real Life, Grade 7
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3. The Percent Equation
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Exercise 23 Page 252

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

$200

Practice makes perfect
We are told that a salesperson receives 2.5% commission on their sales. We can find 2.5% of $8000 to find how much commission they make on $8000 in sales. 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 2.5% of 8000 is by substituting p%= 2.5100 and w= 8000 into the formula and solve for a using the Properties of Equality.
a= p% * w
a= 2.5/100 * 8000
â–Ľ
Solve for a
a=2.5* 8000/100
a=20 000/100
a= 200
Knowing the value of a, let's look at the completed percent equation. 200= 2.5% * 8000 We found that 200 is 2.5 % of 8000. This means that the salesperson makes $200 of commission on $8000 of sales.