In the equation $P = B \times R$, $P = \text{part}$, $B = \text{base, or whole}$, and $R = \text{rate, or percent}$. Use the following forms of the equation to solve the application problems.

$P = B \times R\\[10pt]$

$$B = \dfrac{P}{R}\\[10pt]$$

$$R = \dfrac{P}{B}\\[10pt]$$

You will first need to read the problem carefully to determine whether base, part, or rate is unknown. Round rates to the nearest tenth of a percent.

In a recent insurance company study of boaters who had lost items overboard, 88 boaters or 8% said that they lost their cell phones. Find the total number of boaters in the survey.

In the equation $P = B \times R$, $P = \text{part}$, $B = \text{base, or whole}$, and $R = \text{rate, or percent}$. Use the following forms of the equation to solve the application problems.

$P = B \times R\\[10pt]$

$$B = \dfrac{P}{R}\\[10pt]$$

$$R = \dfrac{P}{B}\\[10pt]$$

You will first need to read the problem carefully to determine whether base, part, or rate is unknown. Round rates to the nearest tenth of a percent.

Out of 571 employees interviewed, 17% said they thought about work while on vacation. How many people thought about work?

Solve for rate. Round to the nearest tenth of a percent.

In the early 1980s, wind-generated electricity cost about 30 cents per kilowatt hour. Today, the best wind systems can produce electricity for 2 cents per kilowatt hour. Find today’s cost as a percent of the cost in the 1980s.

Solve for rate. Round to the nearest tenth of a percent.

In a recent survey of 230 nurses, 159 were unhappy with their jobs due to the difficult working hours and work-related stresses. Find the percent unhappy with their jobs.

Solve for rate. Round to the nearest tenth of a percent.

Of the 2380 motorcycle riders that participated in a recent bike rally through the California mountains, 2041 were men. Find the percent who were men.

Solve for rate. Round to the nearest tenth of a percent.

Cricket’s is a popular club for students from the nearby college. The club had 840 customers during Labor Day weekend. If 487 of those customers were under 26 years of age, find the percent under 26.

Solve for rate. Round to the nearest tenth of a percent.

Only 250 of Thai Beach’s 1100 customers tan regularly. Find the percent that tan regularly.

Solve for rate. Round to the nearest tenth of a percent.

Advertising expenditures for Bailey’s Roofers are as follows.

$$\begin{array}{|l r l r|} \hline \text{Newspaper} & \$2250 & \text{Television} & \$1425\\ \text{Radio} & \$954 & \text{Yellow Pages} & \$1605\\ \text{Outdoor} & \$1950 & \text{Miscellaneous} & \$2775 \\ \hline \end{array}$$

What percent of the total advertising expenditures is spent on radio advertising?

Solve for rate. Round to the nearest tenth of a percent.

There are 55,000-plus words in Webster’s Dictionary, but most educated people can identify only 20,000 of these words. What percent of the words in the dictionary can these people identify.

Solve for rate in the application problem. Round to the nearest tenth of a percent.

A recent study by Rand's National Defense Research Institute examined 48,000 military jobs, such as Army attack-helicopter pilot and Navy gunner's mate. It was found that only 960 of these jobs are filled by women. What percent of these jobs are filled by women?

Solve for rate. Round to the nearest tenth of a percent.

One Carrier Corporation factory builds air conditioning systems for commercial buildings. Sales are traditionally low as summer draws to an end and the manager decides he must lay off 80 of the 760 employees working on the assembly lines. Find the percent of workers that will be laid off.

A problem includes amount of sales, sales tax, and a sales-tax rate. Explain how you could identify the base, rate, and part in this problem.

The basic percent formula is $P = B \times R$. Show how to find the formula to solve for R (rate).

A problem includes last year’s sales and this year’s sales and asks for the percent of increase. Explain how you would identify the base, rate, and part in this problem.