Some of the workers at a hedge fund are analysts; the others are not analysts. There are a total of 2x/3 analysts at the hedge fund. A total of x hedge fund workers have an MBA. Furthermore, x/3 analysts have an MBA, y/4 of the hedge fund workers are neither analysts nor have an MBA, and 40 workers are not analysts. If there are y total workers at the hedge fund, x is equal to which of the following? Choose the correct option
A) 36 B) 50 C) 60 D) 75 E) 80
AnalystsNot AnalystsTotal   MBAx/32x/3x   No MBAy/4   Total2x/350y   We are asked for the value of x.   From the table: 2x/3 = y - 40   y - 40 + (y/4) = 40   5y/4 = 80   y = 64   2x/3 = 64 - 40= 
<gadget id="calculator">64 - 40</gadget>
<output>24</output>
24   x= 72/2= 
<gadget id="calculator">72/2</gadget>
<output>36</output>
36   36nswer: 36
<result>A</result>
Some of the workers at a hedge fund are analysts; the others are not analysts. There are a total of 2x/3 analysts at the hedge fund. A total of x hedge fund workers have an MBA. Furthermore, x/3 analysts have an MBA, y/4 of the hedge fund workers are neither analysts nor have an MBA, and 40 workers are not analysts. If there are y total workers at the hedge fund, x is equal to which of the following?