### 3.9 Percentages

Problem #

Problem Statement

Problems Similar To

1.

Write 58% as a decimal

\begin{equation}58\end{equation}

2.

Write 2/7% as a decimal

\begin{equation}\frac{2}{7}\end{equation}

3.

Write 159% as a decimal

\begin{equation}159\end{equation}

4.

Express 4 as percentage

\begin{equation}4\end{equation}

5.

Express 4/8 as percentage

\begin{equation}\frac{4}{8}\end{equation}

6.

What is 90% of 5?

\begin{equation}\frac{90}{100} \times 5=x\end{equation}

7.

What percent of 12 is 84/25?

\begin{equation}\frac{x}{100} \times 12=\frac{84}{25}\end{equation}

8.

16% of what is 8/5?

\begin{equation}\frac{16}{100} \times x=\frac{8}{5}\end{equation}

9.

Population of a certain city decreased to 39% that of last year's. The population now is 303966. What was it last year?

\begin{equation}\frac{39}{100} \times x=303966\end{equation}

10.

The stock market index is now at 700, which is 14% of last year's value. Where was it at last year?

\begin{equation}x \times \frac{14}{100}=700\end{equation}

11.

So far this week you have worked 231/50 hours at your part time job. This is 66% of the number of hours you work each week. How many hours do you work each week?

\begin{equation}x \times \frac{66}{100}=\frac{231}{50}\end{equation}

12.

Sales tax rate in State X is 26%. Estimate the sales tax on a model of a Pirate Ship that costs $\$4400$. \begin{equation}4400 \times \frac{26}{100}\end{equation} 13. In a purchase, customers pay 6% sales tax over an above the price of the article. You buy a skateboard with a printed price$\$69$, what is the total cost, with taxes, you'll need to pay?

\begin{equation}69+69 \times \frac{6}{100}\end{equation}

14.

According to a nation's census, State X had about 8987900 residents. Of those, 14% are under age 18. How many of State X's residents are under the age of 18?

\begin{equation}8987900 \times \frac{14}{100}\end{equation}

15.

A storage device has 1100 megabytes of storage space. What percent of the space is used by a file that takes up 132 megabytes?

\begin{equation}\frac{x}{100} \times 1100=132\end{equation}

16.

A pharmacy discount card gives the user 29% off prescriptions. Mr. Kumar's cholesterol medication normally costs $\$10$. What is the final price with the discount card? \begin{equation}35-10 \times \frac{29}{100}\end{equation} 17. A major city's public transport system sells$\$50$ tickets at a discounted price of $\$44$. What percentage is the discount? \begin{equation}\frac{50-44}{50} \times 100\end{equation} 18. A textbook salesperson is paid a base salary of$\$15400$ plus a 4% commission on sales. Her total sales last year were $\$95400\$. Find her total pay last year?

\begin{equation}15400+95400 \times \frac{4}{100}\end{equation}