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Chapter 1: Problem 24

a. A hospital employs 346 nurses, and \(35 \%\) of them are male. How many male nurses are there? b. An engineering firm employs 178 engineers, and 112 of them are male. What percentage of these engineers are female? c. A large law firm is made up of \(65 \%\) male lawyers, or 169 male lawyers. What is the total number of lawyers at the firm?

Short Answer

Expert verified
a. There are 121.1 male nurses, however, since a partial nurse doesn't make sense in this context, we can round it up to 121 male nurses. b. Approximately 37.08% of the engineers are female. c. There are approximately 260 lawyers at the firm.

Step by step solution

01

Calculate the Number of Male Nurses

To find the number of male nurses, calculate 35 percent of the total number of nurses. This can be done by multiplying 0.35 (the decimal equivalent of 35 percent) by 346 (the total number of nurses). Using this formula, the calculation would be \(0.35 * 346\)
02

Determine the Percentage of Female Engineers

First, subtract the number of male engineers (112) from the total number of engineers (178) to find the number of female engineers: \(178 - 112\). Then, find the percentage by dividing the number of female engineers by the total number of engineers and multiplying by 100. The formula for this calculation would be \(((178 - 112) / 178) * 100\)
03

Determine the Total Number of Lawyers

The problem states that 169 male lawyers make up 65 percent of the total number of lawyers. To find the total, think of the 169 male lawyers as 65 percent and calculate the total. To do this, divide the number of male lawyers (169) by the decimal equivalent of 65 percent (0.65). The formula for this calculation would be \(169 / 0.65\)

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