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 60 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 choice from the following answers
A) 45  B) 54  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 - 60   y - 60 + (y/4) = 60   5y/4 = 120   y = 96   2x/3 = 96 - 60= 
<gadget id="calculator">96 - 60</gadget>
<output>36</output>
36   x= 108/2= 
<gadget id="calculator">108/2</gadget>
<output>54</output>
54   Answer: 54
<result>B</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 60 workers are not analysts. If there are y total workers at the hedge fund, x is equal to which of the following?