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 80 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) 50 C) 60 D) 72 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 - 80   y - 80 + (y/4) = 80   5y/4 =160   y = 128   2x/3 = 128 - 80= 
<gadget id="calculator">128 - 80</gadget>
<output>48</output>
48   x= 144/2= 
<gadget id="calculator">144/2</gadget>
<output>72</output>
72   Answer: 72
<result>D</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 80 workers are not analysts. If there are y total workers at the hedge fund, x is equal to which of the following?