Dimitri weighs \(x\) pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of \(y\) pounds. Which of

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Dimitri weighs \(x\) pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of \(y\) pounds. Which of the following represents Allen’s weight?

A. \(y - \dfrac{x}{2}\)
B. \(2x - \dfrac{y}{2}\)
C. \(\dfrac{y - x}{2}\)
D. \(y - 2x\)
E. \(2x - y\)

[spoiler]OA=C[/spoiler]

Source: Magoosh
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Gmat_mission wrote:
Sun Apr 26, 2020 11:51 am
Dimitri weighs \(x\) pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of \(y\) pounds. Which of the following represents Allen’s weight?

A. \(y - \dfrac{x}{2}\)
B. \(2x - \dfrac{y}{2}\)
C. \(\dfrac{y - x}{2}\)
D. \(y - 2x\)
E. \(2x - y\)

[spoiler]OA=C[/spoiler]

Source: Magoosh
Let A = Allen’s weight. Thus, Dimitri’s weight is A + x, and we can create the equation:

A + A + x = y

2A = y - x

A = (y - x)/2

Answer: C

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