SOLUTION: Hi, I am having trouble trying to write an equation for this question. Can you please help? You are running a concession stand. You are selling hotdogs and soda. Each hot

Question 582220: Hi,
I am having trouble trying to write an equation for this question. Can you please help?
You are running a concession stand. You are selling hotdogs and soda. 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?
Thanks
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
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
--------------------------------------
Multiply thru the Quantity Equation by 15
Multiply thru the Value Equation by 10.
--------------------
15h + 15s = 15*87
15h + 5s = 785
----------------------
Subtract and solve for "s":
10s = 520
s = 52 (# of soda's sold)
----
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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