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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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In a certain store, the ratio of part-time workers to full-
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We can let the number of part-time and full-time workers be 2x and 5x, respectively. We can create the equation: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
(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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