SOLUTION: A discount store sold plastic cups for $3.25 each and ceramic cups for $4.50 each. If 500 cups were sold for a total of $2090, how many cups of each type were sold?

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: A discount store sold plastic cups for $3.25 each and ceramic cups for $4.50 each. If 500 cups were sold for a total of $2090, how many cups of each type were sold?      Log On


   

Question 329628: A discount store sold plastic cups for $3.25 each and ceramic cups for $4.50 each. If 500 cups were sold for a total of $2090, how many cups of each type were sold?
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
A discount store sold plastic cups for $3.25 each and ceramic cups for $4.50 each. If 500 cups were sold for a total of $2090, how many cups of each type were sold?
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Quantity Equation: p + c = 500 cups
Value Equation: 3.25p+4.50c = 2090 dollars
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Multiply thru Quantity by 325
Multiply thru Value by 100
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325p + 325c = 325*500
325p + 450c = 209000
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Subtract 1st from 2nd and solve for "c":
125c = 46500
# of ceramic cups = 372
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Since p+c=500, p = 128 (# of plastic cups)
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Cheers,
stan H.
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