SOLUTION: 1. A discount store sold plastic cups for $3.25 each and ceramic cups for $4.50 each. a. If 500 cups were sold for a total of $2,090, how many cups of each type were sold?

Algebra ->  Customizable Word Problem Solvers  -> Misc -> SOLUTION: 1. A discount store sold plastic cups for $3.25 each and ceramic cups for $4.50 each. a. If 500 cups were sold for a total of $2,090, how many cups of each type were sold?       Log On

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Question 349406: 1. A discount store sold plastic cups for $3.25 each and ceramic cups for $4.50 each.
a. If 500 cups were sold for a total of $2,090, how many cups of each type were sold?
b. What was the dollar value of each type of cup sold?

Answer by JBarnum(2146) About Me  (Show Source):
You can put this solution on YOUR website!
P=plastic cups (amount)
C=ceramic cups (amount)
500 total cups and total of $2090
P%2BC=500
3.25P%2B4.5C=2090


i will use elimination method
4.5P%2B4.5C=2250
3.25P%2B4.5C=2090
combine by subtraction
1.25P=160
P=128


P%2BC=500
128%2BC=500
C=372


3.25(128)=$416 for plastic
4.50(372)=$1674 for ceramic