At a certain factory, each employee working the second shift produced 2/3 as many widgets as each employee working the

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At a certain factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce?

A. 8/17
B. 1/2
C. 8/9
D. 9/8
E. 17/8


OA A

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BTGmoderatorDC wrote:
Tue Oct 18, 2022 12:53 am
At a certain factory, each employee working the second shift produced 2/3 as many widgets as each employee working the first shift. If the first shift has 3/4 as many employees, what fraction of the total widgets did the second shift produce?

A. 8/17
B. 1/2
C. 8/9
D. 9/8
E. 17/8


OA A

Source: Veritas Prep
We can let the number of widgets produced by each employee in the first shift = 3 and the number of widgets produced by each employee in the second shift = 2.

We can let the number of employees in the second shift = 4 and the number in the first shift = 3.
The total widgets produced was (3 x 3) + (2 x 4) = 9 + 8 = 17.

So the fraction of widgets produced by the second shift was 8/17.

Answer: A

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