Carcass wrote:

1,500 individuals attended a marathon held in Town A. Of those, only y participated in the marathon. If x of the 1,500 individuals were from Town A, and z ofthe individiuals participated in the marathon but were not from Town A, which of the following represents the number of individuals who did not participate in the marathon and were not from Town A?

(A) 1,500 - x+ 2y

(B) 1,500 - x+ 2z

(C) 1,500 - x - y + z

(D) 1,500- x + y - z

(E) 1,500 - x - z

We can create the equation:

Total = from town A + participated in marathon - both + neither

From town A = x

Participated = y

Since z of the individuals participated but were not from town A, then (y - z) individuals participated and were from town A. Thus:

1500 = x + y - (y - z) + neither

1500 = x + y - y + z + neither

1500 - x - z = neither

Answer: E

_________________

Jeffery Miller

Head of GRE Instruction

GRE Quant Self-Study Course

500+ lessons 3000+ practice problems 800+ HD solutions