Algebra-1 Problems

3.9 Percentages
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1.

Write 80% as a decimal

\begin{equation}80\end{equation}

2.

Write 4/4% as a decimal

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

3.

Write 167% as a decimal

\begin{equation}167\end{equation}

4.

Express 10 as percentage

\begin{equation}10\end{equation}

5.

Express 2/7 as percentage

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

6.

What is 44% of 5?

\begin{equation}\frac{44}{100} \times 5=x\end{equation}

7.

What percent of 78 is 1677/50?

\begin{equation}\frac{x}{100} \times 78=\frac{1677}{50}\end{equation}

8.

34% of what is 17/25?

\begin{equation}\frac{34}{100} \times x=\frac{17}{25}\end{equation}

9.

Population of a certain city decreased to 71% that of last year's. The population now is 695303. What was it last year?

\begin{equation}\frac{71}{100} \times x=695303\end{equation}

10.

The stock market index is now at 2852, which is 46% of last year's value. Where was it at last year?

\begin{equation}x \times \frac{46}{100}=2852\end{equation}

11.

So far this week you have worked 187/100 hours at your part time job. This is 17% of the number of hours you work each week. How many hours do you work each week?

\begin{equation}x \times \frac{17}{100}=\frac{187}{100}\end{equation}

12.

Sales tax rate in State X is 15%. Estimate the sales tax on a model of a Pirate Ship that costs $\$2300$.

\begin{equation}2300 \times \frac{15}{100}\end{equation}

13.

In a purchase, customers pay 4% sales tax over an above the price of the article. You buy a skateboard with a printed price $\$83$, what is the total cost, with taxes, you'll need to pay?

\begin{equation}83+83 \times \frac{4}{100}\end{equation}

14.

According to a nation's census, State X had about 9253500 residents. Of those, 20% are under age 18. How many of State X's residents are under the age of 18?

\begin{equation}9253500 \times \frac{20}{100}\end{equation}

15.

A storage device has 600 megabytes of storage space. What percent of the space is used by a file that takes up 234 megabytes?

\begin{equation}\frac{x}{100} \times 600=234\end{equation}

16.

A pharmacy discount card gives the user 51% off prescriptions. Mr. Kumar's cholesterol medication normally costs $\$8$. What is the final price with the discount card?

\begin{equation}77-8 \times \frac{51}{100}\end{equation}

17.

A major city's public transport system sells $\$50$ tickets at a discounted price of $\$38$. What percentage is the discount?

\begin{equation}\frac{50-38}{50} \times 100\end{equation}

18.

A textbook salesperson is paid a base salary of $\$24500$ plus a 2% commission on sales. Her total sales last year were $\$65600$. Find her total pay last year?

\begin{equation}24500+65600 \times \frac{2}{100}\end{equation}