Question 582220
Each hot dog costs $ 1.50 and each soda costs $ .50. You made a total of $ 78.50. You sold a total of 87 hot dogs and sodas combined. You must report the number of hot dogs and soda's sold. How many hot dogs and soda's were sold? 
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Quantity Equation: h + s = 87
Value Equation:: 1.5h+0.5s=78.50
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Multiply thru the Quantity Equation by 15
Multiply thru the Value Equation by 10.
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15h + 15s = 15*87
15h + 5s = 785
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Subtract and solve for "s":
10s = 520
s = 52 (# of soda's sold)
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Solve for h:
h + s = 87
h + 52 = 87
h = 35 (# of hot dog's sold)
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Cheers,
Stan H.
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