At a certain factory, the number of first-shift workers is 2/3 the num

Question

At a certain factory, the number of first-shift workers is 2/3 the number of second-shift workers. Every day, each second-shift worker can make 4/3 as many light bulbs as each first-shift worker.

In the first column, identify a possible number of total light bulbs made on one day by the two shifts combined; in the second column, identify the corresponding number of total light bulbs that the first-shift workers made on the same day. Make only two selections, one in each column.

rocky620 · Accepted Answer

First Shift Workers = FW
Second Shift Workers = SW

Let the number of  SW = x , so the number of  FW =  \frac{2}{3} x
Let the number of bulbs produced by FW =  n , so the number of bulbs produced by SW =  \frac{4}{3} n

Total bulbs produced by FW =  \frac{2}{3} xn
Total bulbs produced by SW =  \frac{4}{3} xn

Total bulbs produced by FW & SW =  \frac{2}{3} xn +  \frac{4}{3} xn = 2xn

So,
 \frac{Bulbs produced by FW}{Bulbs produced by FW+SW}  = \frac{2}{3}xn/2xn  =  \frac{1}{3}

In the first column, identify a possible number of total light bulbs made on one day by the two shifts combined; in the second column, identify the corresponding number of total light bulbs that the first-shift workers made on the same day. Make only two selections, one in each column.

3 - 9 & 1 are not in the choices. Eliminate
6 - 18 & 2 are not in the choices. Eliminate
  12 - Total First-Shift Bulbs  
24 - 72 & 8 are not in the choices. Eliminate
  36 - Total Bulbs for Both Shifts

Usernamevisible · Answer

Particulars First Second
Workers 2 3
Rate 3 4
Total 6 12

we have 36 which is double the total so multiply the first shift by 2 (6*2=12)

GaganB · Answer

See the solution here- https://gmatclub.com/forum/download/file.php?id=89228 GMAT-Club-Forum-qhln63zs.png

At a certain factory, the number of first-shift workers is 2/3 the num

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Total Bulbs for Both Shifts	Total First-Shift Bulbs	Value
		3
		6
		12
		24
		36

GMAT Two-part Analysis (TPA) Questions

At a certain factory, the number of first-shift workers is 2/3 the num

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