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
If w + 2x = 150, 2w + 3y = 100, and x + 3z = 50, what is the
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GIVEN: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.
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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We can add the 3 equations together, and we have: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
3w + 3x + 3y + 3z = 150 + 100 + 50
3w + 3x + 3y + 3z = 300
w + x + y + z = 100
Answer: D
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