Envision Math 2.0: Grade 7, Volume 1
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3. Represent and Use the Percent Equation
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Exercise 11 Page 153

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

Sales Commission Rate Commission
$768 4 % $30.72
Practice makes perfect

We want to complete the given table by finding the commission of a sale. To do so, we will use the percent equation. part = percent * whole Now, let's take a look at the given table.

Sales Commission Rate Commission
$768 4 %

Looking at the table, we can see that the sale is $768 and the commission rate is 4 %. Let's draw a bar diagram to represent the problem. In the diagram, c will represent the commission.

The bar diagram
Now we will apply the percent equation to the given situation. For simplicity, we can temporarily ignore the units. part = percent * whole [0.4em] ↓ [0.4em] c = 4 % * 768 We need to write the percent as a decimal before we can solve the equation that we got. To write a percent as a decimal, we will ignore the percent symbol and move the decimal point two places to the left.
percent as decimal: 0.065
Therefore, 4 % is equal to 0.04. c = 4 % * 768 [0.4em] ↓ [0.4em] c = 0.04 * 768 Finally, we will solve the equation for c.
c=0.04 * 768
c =30.72
We got that c= 30.72 is a solution to the equation. This means that the commission is $30.72. Let's complete the table.
Sales Commission Rate Commission
$768 4 % $30.72