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To solve problems that involve percent, use the percent equation.
It is more than the usual tip, see solution.
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.
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.
.LHS /47.2.=.RHS /47.2.
Cancel out common factors
Simplify quotient
Use a calculator
Rearrange equation
Round to 2 decimal place(s)
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.