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In a certain store, the ratio of part-time workers to full-

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by AAPL » Tue Jun 25, 2019 7:58 am

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In a certain store, the ratio of part-time workers to full-time workers is 2 to 5. If 4 part-time workers were hired, then the ratio would be 3 to 5. How many workers does the store have?

A. 11
B. 12
C. 21
D. 28
E. 35

OA D
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by swerve » Wed Jun 26, 2019 12:55 pm
You can proceed as follows:

\(2x+5x=7x\)

\(\frac{2}{5}\)

\(+4\) part time \(\Rightarrow \frac{3}{5}\)

\(1x=4\)

\((2\cdot 4) + (5\cdot 4) = 28 \)
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by Scott@TargetTestPrep » Mon Jul 01, 2019 4:46 pm
AAPL wrote:Veritas Prep

In a certain store, the ratio of part-time workers to full-time workers is 2 to 5. If 4 part-time workers were hired, then the ratio would be 3 to 5. How many workers does the store have?

A. 11
B. 12
C. 21
D. 28
E. 35

OA D
We can let the number of part-time and full-time workers be 2x and 5x, respectively. We can create the equation:

(2x + 4)/(5x) = 3/5

5(2x + 4) = 3(5x)

10x + 20 = 15x

20 = 5x

4 = x

So there are 2(4) = 8 part-time workers and 5(4) = 20 full-time workers, and therefore, there are a total of 28 workers in the store.

Answer: D

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