Question 363856: THE BILL FOR FIVE GLASSES OF APPLE JUICE AND FOUR SALADS IS $9.50,BUT THE BILL FOR FOUR GLASSES OF APPLE JUICE AND FIVE SALADS IS $10.30.WHAT WOULD BE THE BILL FOR A GLASS OF APPLE JUICE AND A SALAD?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! THE BILL FOR FIVE GLASSES OF APPLE JUICE AND FOUR SALADS IS $9.50,BUT THE BILL FOR FOUR GLASSES OF APPLE JUICE AND FIVE SALADS IS $10.30.WHAT WOULD BE THE BILL FOR A GLASS OF APPLE JUICE AND A SALAD?
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Equations:
5a + 4s = 9.50
4a + 5s = 10.30
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Multiply thru 1st by 4.
Multiply thru 2nd by 5.
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20a + 16s = 4*9.50
20a + 25s = 5*10.30
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Subtract 2nd from 1st and solve for "s":
9s = 13.50
s = $1.50 (price of one salad)
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Substitute into 5a+4s = 9.50 to solve for "a":
5a + 4*1.5 = 9.50
5a + 6 = 9.5
5a = 3.5
a = 0.70 (price of one apple juice)
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Cheers,
Stan H.
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