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If w + 2x = 150, 2w + 3y = 100, and x + 3z = 50, what is the

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by BTGmoderatorDC » Fri Dec 14, 2018 5:50 pm

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If w + 2x = 150, 2w + 3y = 100, and x + 3z = 50, what is the value of w + x + y + z?

A. 12.5
B. 20
C. 50
D. 100
E. It cannot be determined from the information provided.

OA D

Source: Princeton Review
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by Brent@GMATPrepNow » Fri Dec 14, 2018 6:05 pm
BTGmoderatorDC wrote:If w + 2x = 150, 2w + 3y = 100, and x + 3z = 50, what is the value of w + x + y + z?

A. 12.5
B. 20
C. 50
D. 100
E. It cannot be determined from the information provided.
GIVEN:
w + 2x = 150
2w + 3y = 100
x + 3z = 50

If we add all 3 equations, we get: 3w + 3x + 3y + 3z = 300
Divide both sides by 3 to get: w + x + y + z = 100

Answer: D

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by Scott@TargetTestPrep » Thu Mar 21, 2019 4:43 pm
BTGmoderatorDC wrote:If w + 2x = 150, 2w + 3y = 100, and x + 3z = 50, what is the value of w + x + y + z?

A. 12.5
B. 20
C. 50
D. 100
E. It cannot be determined from the information provided.

OA D

Source: Princeton Review
We can add the 3 equations together, and we have:

3w + 3x + 3y + 3z = 150 + 100 + 50

3w + 3x + 3y + 3z = 300

w + x + y + z = 100

Answer: D

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