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 2 Page 152

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

It is more than the usual tip, see solution.

Practice makes perfect
We want to find if the tip a waiter received is equal to the usual amount. To do so, we will find what percent of the bill he received as a tip. We will use the percent equation to calculate this. part = percent * whole We are told that the waiter received $11 as a tip on a $47.2 bill. Let's draw a bar diagram to represent the problem. In the diagram, let p 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] 11 = p * 47.2 Next, we will solve the equation that we got for p. To do so, we will use the Division Property of Equality.
11=p* 47.2
11/47.2=47.2p/47.2
11/47.2=47.2p/47.2
11/47.2=p
0.233050... =p
p =0.233050...
p ≈ 0.23
We got that p≈ 0.23 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. 0.23 = 23 % We found that the waiter received a tip that is approximately 23 % of the total bill, which is more than the usual amount.