SOLUTION: Roomates, Bill, Dan, and Ed went to the grocery store to do some shopping. They figure, based on how much of the time each one eats at their apartment, that Bill should pay 2/5 of

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: Roomates, Bill, Dan, and Ed went to the grocery store to do some shopping. They figure, based on how much of the time each one eats at their apartment, that Bill should pay 2/5 of       Log On


   



Question 185087: Roomates, Bill, Dan, and Ed went to the grocery store to do some shopping. They figure, based on how much of the time each one eats at their apartment, that Bill should pay 2/5 of the total bill, then Dan should pay 3/7 of the total bill, and Ed should pay the rest of the bill which was $138.00 How much Bill pay and how much Dan pay?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Roomates, Bill, Dan, and Ed went to the grocery store to do some shopping. They figure, based on how much of the time each one eats at their apartment, that Bill should pay 2/5 of the total bill, then Dan should pay 3/7 of the total bill, and Ed should pay the rest of the bill which was $138.00 How much Bill pay and how much Dan pay?
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Let the total bill be "x"
Equation:
(2/5)x + (3/7)x + 138 = x
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Multiply thru by 35 to get:
14x + 15x + 35*138 = 35x
6x = 35*138
x = 35*23
x = $805 (the total bill)
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Cheers,
Stan H.