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?
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Question 331961: 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?
What was the dollar value of each type of cup sold?
Answer by ankor@dixie-net.com(22740) (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.
:
a. If 500 cups were sold for a total of $2,090, how many cups of each type were sold?
:
The no. of cups equation
p + c = 500
p = (500-c); use this form for substitution
;
the cost equation
3.25p + 4.50c = 2090
:
replace p with (500-c)
3.25(500-c) + 4.50c = 2090
:
1625 - 3.25c + 4.50c = 2090
:
-3.25c + 4.50c = 2090 - 1625
:
1.25c = 465
c =
c = 372 ceramic cups
then
500 - 372 = 128 plastic cups
:
What was the dollar value of each type of cup sold?
372 * 4.50 = $1674
128 * 3.25 = $416
---------------------
Check total: 2090
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