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 2,090,how many cups of each type were sold? What was th

Question 338998: 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 2,090,how many cups of each type were sold?
What was the dollar value of each type of cup sold?
Answer by nyc_function(2741) (Show Source): You can put this solution on YOUR website!
Call the number of plastic cups p.
500 cups were sold in total, so that means that 500-p ceramic cups were sold.
A discount store sold plastic cups for $3.25 each -at a cost of 3.25p-and ceramic cups for $4.50 each -at a cost of 4.5*(500-p)....for a total of 2,090
So
3.25p + 4.5(500-p) = 2090
Now we can just solve for p....

3.25p + 2250 -4.5p = 2090
2250-2090 = 4.5p-3.25p
160 = 1.25p
p = 160/1.25 = 128
128 plastic cups were sold for 128*3.25 = $416
500-128 = 372 ceramic cups were sold for 372 *4.5= $1674
Check: 416+1674 = 2090

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