# 6.2 Solve general applications of percent  (Page 4/7)

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## Key concepts

• To translate a percent problem, first write an equation and then solve it. See [link] .
• Percents can be used to solve many types of problems. The strategy is to write a sentence that gives the information, translate it to an equation, and solve using algebra. See [link] .
• Some percent problems involve finding percent increase or decrease, which is the difference between a new amount and an original amount. See [link] .

## Practice makes perfect

Translate and Solve Basic Percent Equations

In the following exercises, translate and solve.

What number is $\text{45%}$ of $120?$

54

What number is $\text{65%}$ of $100?$

What number is $\text{24%}$ of $112?$

26.88

What number is $\text{36%}$ of $124?$

$\text{250%}$ of $65$ is what number?

162.5

$\text{150%}$ of $90$ is what number?

$\text{800%}$ of $2,250$ is what number?

18,000

$\text{600%}$ of $1,740$ is what number?

$28$ is $\text{25%}$ of what number?

112

$36$ is $\text{25%}$ of what number?

$81$ is $\text{75%}$ of what number?

108

$93$ is $\text{75%}$ of what number?

$\text{8.2%}$ of what number is $\text{2.87}?$

$35 $\text{6.4%}$ of what number is $\text{2.88}?$ $\text{11.5%}$ of what number is $\text{108.10}?$$940

$\text{12.3%}$ of what number is $\text{92.25}?$

What percent of $260$ is $78?$

30%

What percent of $215$ is $86?$

What percent of $1,500$ is $540?$

36%

What percent of $1,800$ is $846?$

$30$ is what percent of $20?$

150%

$50$ is what percent of $40?$

$840$ is what percent of $480?$

175%

$790$ is what percent of $395?$

Solve Applications of Percents

In the following exercises, solve the applications of percents.

Geneva treated her parents to dinner at their favorite restaurant. The bill was $\text{74.25}.$ She wants to leave $\text{16%}$ of the total bill as a tip. How much should the tip be?

$11.88 When Hiro and his co-workers had lunch at a restaurant the bill was $\text{90.50}.$ They want to leave $\text{18%}$ of the total bill as a tip. How much should the tip be? Trong has $\text{12%}$ of each paycheck automatically deposited to his savings account. His last paycheck was $\text{2,165}.$ How much money was deposited to Trong's savings account?$259.80

Cherise deposits $\text{8%}$ of each paycheck into her retirement account. Her last paycheck was $\text{1,485}.$ How much did Cherise deposit into her retirement account?

One serving of oatmeal has $8$ grams of fiber, which is $\text{33%}$ of the recommended daily amount. What is the total recommended daily amount of fiber?

24.2 grams

One serving of trail mix has $67$ grams of carbohydrates, which is $\text{22%}$ of the recommended daily amount. What is the total recommended daily amount of carbohydrates?

A bacon cheeseburger at a popular fast food restaurant contains $2,070$ milligrams (mg) of sodium, which is $\text{86%}$ of the recommended daily amount. What is the total recommended daily amount of sodium?

2,407 grams

A grilled chicken salad at a popular fast food restaurant contains $650$ milligrams (mg) of sodium, which is $\text{27%}$ of the recommended daily amount. What is the total recommended daily amount of sodium?

The nutrition fact sheet at a fast food restaurant says the fish sandwich has $380$ calories, and $171$ calories are from fat. What percent of the total calories is from fat?

45%

The nutrition fact sheet at a fast food restaurant says a small portion of chicken nuggets has $190$ calories, and $114$ calories are from fat. What percent of the total calories is from fat?

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I think
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