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 90 workers are not analysts. If there are y total workers at the hedge fund, x is equal to which of the following? Pick one:  A) 45  B) 50  C) 60  D) 75  E) 81
AnalystsNot AnalystsTotal   MBAx/32x/3x   No MBAy/4   Total2x/350y   We are asked for the value of x.   From the table: 2x/3 = y - 90   y - 90 + (y/4) = 90   5y/4 = 180   y = 144   2x/3 = 144 - 90= 
<gadget id="calculator">144 - 90</gadget>
<output>54</output>
54   x= 162/2= 
<gadget id="calculator">162/2</gadget>
<output>81</output>
81   Answer: 81
<result>E</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 90 workers are not analysts. If there are y total workers at the hedge fund, x is equal to which of the following?