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 70 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) 63  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 - 70   y - 70 + (y/4) = 70   5y/4 = 140   y = 112   2x/3 = 112 - 70= 
<gadget id="calculator">112 - 70</gadget>
<output>42</output>
42   x= 126/2= 
<gadget id="calculator">126/2</gadget>
<output>63</output>
63   Answer: 63
<result>C</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 70 workers are not analysts. If there are y total workers at the hedge fund, x is equal to which of the following?