SOLUTION: Buffalo contributed 6 more tons of clothing to a drive than did Troy. Endicott contributed half as much as Troy. In all they continued 71 tons. How many tons were contributed by ea

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Question 720796: Buffalo contributed 6 more tons of clothing to a drive than did Troy. Endicott contributed half as much as Troy. In all they continued 71 tons. How many tons were contributed by each?
Found 2 solutions by rfer, MathTherapy:
Answer by rfer(16322) About Me  (Show Source):
You can put this solution on YOUR website!
B=6t
T=t
E=0.5t
-------------
7.5t=71
t=71/7.5
t=9.5
6t=56.75
0.5t=4.75

Answer by MathTherapy(10555) About Me  (Show Source):
You can put this solution on YOUR website!

Buffalo contributed 6 more tons of clothing to a drive than did Troy. Endicott contributed half as much as Troy. In all they continued 71 tons. How many tons were contributed by each?

Let amount contributed by Troy be T
Then amount contributed by Buffalo = T + 6
Amount Endicott contributed = ˝ * T, or T%2F2
Therefore, T+%2B+T+%2B+6+%2B+T%2F2+=+71

2T+%2B+6+%2B+T%2F2+=+71

4T + 12 + T = 142 ------ Multiplying by LCD, 2

5T = 130

T, or Troy contributed 130%2F5, or highlight_green%2826%29 tons

Buffalo contributed 26 + 6, or highlight_green%2832%29 tons

Endicott contributed ˝ * 26, or highlight_green%2813%29 tons

You can do the check!!

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