Envision Math 2.0: Grade 7, Volume 1
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3. Represent and Use the Percent Equation
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Exercise 13 Page 153

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

$ 28.2

Practice makes perfect

We want to find how much gratuity is added to a party of 6 on a bill. To do so, we will use the percent equation. part = percent * whole We know that a restaurant automatically charges a 20 % gratuity if a party has 6 or more people, and the bill in the exercise is $141. Let's draw a bar diagram to represent the problem. In the diagram, c will represent the gratuity.

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 = 20 % * 141 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, 20 % is equal to 0.2. c = 20 % * 141 [0.4em] ↓ [0.4em] c = 0.2 * 141 Finally, we will solve the equation for c.
c=0.2 * 141
r =28.2
We got that c= 28.2 is a solution to the equation. This means that the gratuity for on a $141 bill is $28.2.