Question 628541
    At the local fast food restaurant, 5 cokes and 7 orders of french fries cost $7.25, while 4 cokes and 5 orders od french fries cost $5.50. Then what are the prices of a single coke and a single order of fries?
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Let c = cost of single coke
and f = cost of single french fry
then our system of equations is
5c + 7f = 7.25
4c + 5f = 5.50
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multiply top eq by 4 and bottom eq by -5 then add together:
 20c + 28f =  29
-20c - 25f = -27.5
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        3f = 1.50
         f= .50  (cost of single order of french fry)
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cost of single coke:
plug above into:
4c + 5f = 5.50
4c + 5(.50) = 5.50
4c + 2.50 = 5.50
4c = 3.00
c = .75