1,500 individuals attended a marathon held in Town A

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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 of the individuals 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

The OA is E.

1500 attended, and x are from town A
=> 1500-x people attended the marathon who are not from town A;

z participated in the marathon who are not from town A

hence those who did not participate and not from town A
= (1500−x) -z

Option E.

Has anyone another strategic approach to solve this PS question? Regards!
Source: — Problem Solving |

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by Vincen » Sun May 06, 2018 9:55 am
Hello AAPL.

I have a doubt here.

I think that the correct answer is the option D= 1500 - x - y - z.

Because we have to subtract "1500 - y" because "y" is the number of people who participated in the marathon and we are asked for the number of individuals who did not participate in the marathon and were not from Town A.

I don't know. Maybe I am wrong.

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by Jeff@TargetTestPrep » Mon May 07, 2018 10:03 am
AAPL 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 of the individuals 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

Jeffrey Miller
Head of GMAT Instruction
[email protected]

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