Question 821418: Alexandra, Ethan, and Sarah spent $1,341 to buy their dad a computer. The three of them used their savings to pay for the computer. Ethan paid $180 more than Alexandra. Alexandra paid $342 less than Sarah. How much did Sarah pay?
Found 2 solutions by richwmiller, stanbon:
Answer by richwmiller(17219)   (Show Source):
You can put this solution on YOUR website! a+n+s=1341,
n=a+180,
a=s-342
a = 273, n = 453, s = 615
s-342 + s-342+180+ s = 1341
3s-642+180=1341
s=615
Stanborn has 134 instead of 1341
Answer by stanbon(75887)  (Show Source):
You can put this solution on YOUR website! Alexandra, Ethan, and Sarah spent $1,341 to buy their dad a computer. The three of them used their savings to pay for the computer. Ethan paid $180 more than Alexandra. Alexandra paid $342 less than Sarah. How much did Sarah pay?
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Equations:
a + e + s = 1341
e = a+180
a = s-342
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Solve for "s"::
Since a = s-342
e = (s-342+180) = s-162
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Substitute for e and for a and solve for "s":
s-342 + s-162 + s = 134
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3s - 504 = 134
3s = 638
s = $212.67 (amt. Sarah paid)
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Cheers,
Stan H.
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