SOLUTION: the total cost of six glasses of apple juice and four salads is 14, but the cost of four glasses of apple juice and six salads is 13.50. what would be the cost of just one glass of

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: the total cost of six glasses of apple juice and four salads is 14, but the cost of four glasses of apple juice and six salads is 13.50. what would be the cost of just one glass of      Log On


   

Question 695395: the total cost of six glasses of apple juice and four salads is 14, but the cost of four glasses of apple juice and six salads is 13.50. what would be the cost of just one glass of juice and one salad
Found 2 solutions by solver91311, stanbon:
Answer by solver91311(24713) About Me  (Show Source):
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Solve the system for

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Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
the total cost of six glasses of apple juice and four salads is 14, but the cost of four glasses of apple juice and six salads is 13.50. what would be the cost of just one glass of juice and one salad
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Equations:
6a + 4s = 14
4a + 6s = 13.50
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Multiply thru the top equation by 2
Multiply thru the bottom equation by 3
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12a + 8s = 28
12a + 18s= 40.5
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Subtract and solve for "a":
10s = 12.5
s = $1.25 (price of one salad)
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Solve for "a":
4a + 6s = 13.5
4a + 7.5 = 13.5
4a = 6
a = $1.50 (price of one glass of apple juice)
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Cheers,
Stan H.
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