6.2 Solve General Applications of Percent

Before you get started, take this readiness quiz.

Translate and solve: $\frac{3}{4}$ of $x$ is $24 .$
If you missed this problem, review the reference.

Simplify: $\left(4.5\right) \left(2.38\right) .$
If you missed this problem, review the reference.

Solve: $3.5 = 0.7 n .$
If you missed this problem, review the reference.

What number is $\text{45}\%$ of $80 ?$

What number is $\text{55}\%$ of $60 ?$

$\text{150}\%$ of $78$ is what number?

$\text{175}\%$ of $72$ is what number?

$17$ is $\text{25}\%$ of what number?

$40$ is $\text{62}.\text{5}\%$ of what number?

$\text{7}.\text{5}\%$ of what number is $\$\text{1}.\text{95} ?$

$\text{8}.\text{5}\%$ of what number is $\$\text{3}.\text{06} ?$

What percent of $76$ is $57 ?$

What percent of $120$ is $96 ?$

$110$ is what percent of $88 ?$

$126$ is what percent of $72 ?$

Cierra and her sister enjoyed a special dinner in a restaurant, and the bill was $\$\text{81}.\text{50} .$ If she wants to leave $\text{18}\%$ of the total bill as her tip, how much should she leave?

Kimngoc had lunch at her favorite restaurant. She wants to leave $\text{15}\%$ of the total bill as her tip. If her bill was $\$\text{14}.\text{40} ,$ how much will she leave for the tip?

One serving of wheat square cereal has $7$ grams of fiber, which is $\text{29}\%$ of the recommended daily amount. What is the total recommended daily amount of fiber?

One serving of rice cereal has $190$ mg of sodium, which is $\text{8}\%$ of the recommended daily amount. What is the total recommended daily amount of sodium?

Veronica is planning to make muffins from a mix. The package says each muffin will be $230$ calories and $60$ calories will be from fat. What percent of the total calories is from fat? (Round to the nearest whole percent.)

The brownie mix Ricardo plans to use says that each brownie will be $190$ calories, and $70$ calories are from fat. What percent of the total calories are from fat?

In $2011 ,$ the IRS increased the deductible mileage cost to $55.5$ cents from $51$ cents. Find the percent increase. (Round to the nearest tenth of a percent.)

In $1995 ,$ the standard bus fare in Chicago was $\$\text{1}.\text{50} .$ In $2008 ,$ the standard bus fare was $\$\text{2}.\text{25} .$ Find the percent increase. (Round to the nearest tenth of a percent.)

The population of one city was about $672,000$ in $2010 .$ The population of the city is projected to be about $630,000$ in $2020 .$ Find the percent decrease. (Round to the nearest tenth of a percent.)

Last year Sheila's salary was $\$\text{42},\text{000} .$ Because of furlough days, this year her salary was $\$\text{37},\text{800} .$ Find the percent decrease. (Round to the nearest tenth of a percent.)

Translate and solve.

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

Translate and solve.

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

Translate and solve.

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

Translate and solve.

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

Translate and solve.

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

Translate and solve.

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

Translate and solve.

$\text{8}.\text{2}\%$ of what number is $\$\text{2}.\text{87} ?$

Translate and solve.

$\text{11}.\text{5}\%$ of what number is $\$\text{108}.\text{10} ?$

Translate and solve.

What percent of $260$ is $78 ?$

Translate and solve.

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

Translate and solve.

$30$ is what percent of $20 ?$

Translate and solve.

$840$ is what percent of $480 ?$

Solve the applications of percents.

Geneva treated her parents to dinner at their favorite restaurant. The bill was $\$\text{74}.\text{25} .$ She wants to leave $\text{16}\%$ of the total bill as a tip. How much should the tip be?

Solve the applications of percents.

Trong has $\text{12}\%$ of each paycheck automatically deposited to his savings account. His last paycheck was $\$\text{2},\text{165} .$ How much money was deposited to Trong's savings account?

Solve the applications of percents.

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?

Solve the applications of percents.

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?

Solve the applications of percents.

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?

Solve the applications of percents.

Emma gets paid $\$\text{3},\text{000}$ per month. She pays $\$\text{750}$ a month for rent. What percent of her monthly pay goes to rent?

Find the percent increase or percent decrease.

Tamanika got a raise in her hourly pay, from $\$\text{15}.\text{50}$ to $\$\text{17}.\text{55} .$ Find the percent increase.

Find the percent increase or percent decrease.

Annual student fees at the University of California rose from about $\$\text{4},\text{000}$ in $2000$ to about $\$\text{9},\text{000}$ in $2014 .$ Find the percent increase.

Find the percent increase or percent decrease.

According to Time magazine $\left(\text{7}/\text{19}/\text{2011}\right)$ annual global seafood consumption rose from $22$ pounds per person in $1960$ to $38$ pounds per person today. Find the percent increase. (Round to the nearest tenth of a percent.)

Find the percent increase or percent decrease.

A grocery store reduced the price of a loaf of bread from $\$\text{2}.\text{80}$ to $\$\text{2}.\text{73} .$ Find the percent decrease.

Find the percent increase or percent decrease.

Hernando's salary was $\$\text{49},\text{500}$ last year. This year his salary was cut to $\$\text{44},\text{055} .$ Find the percent decrease.

Find the percent increase or percent decrease.

In one month, the median home price in the West fell from $\$\text{203},\text{400}$ to $\$\text{192},\text{300} .$ Find the percent decrease. (Round to the nearest tenth of a percent.)

Tipping At the campus coffee cart, a medium coffee costs $\$\text{1}.\text{65} .$ MaryAnne brings $\$\text{2}.\text{00}$ with her when she buys a cup of coffee and leaves the change as a tip. What percent tip does she leave?

Without solving the problem $\text{``} 44$ is $\text{80}\%$ of what number”, think about what the solution might be. Should it be a number that is greater than $44$ or less than $44 ?$ Explain your reasoning.

After returning from vacation, Alex said he should have packed $\text{50}\%$ fewer shorts and $\text{200}\%$ more shirts. Explain what Alex meant.