SOLUTION: I want to check my answer to the following: A discount store sold plastic cups for $3.50 each and ceramic cups for $4 each. If 400 cups were sold for the total $1,458, How many cu

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Question 194578: I want to check my answer to the following:
A discount store sold plastic cups for $3.50 each and ceramic cups for $4 each. If 400 cups were sold for the total $1,458, How many cups of each were sold? What was the dollar value of each type of cup sold.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let p= the number of plastic cups sold
Let c= the number of ceramic cups sold
given:
(1) p+%2B+c+=+400
(2) 3.5p+%2B+4c+=+1458
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Multiply both sids of (1) by 3.5 and
subtract from (2)
3.5p+%2B+4c+=+1458
-3.5p+-+3.5c+=+-1400
-----------------------
.5c+=+58
c+=+116
and
(1) p+%2B+c+=+400
p+%2B+116+=+400
p+=+284
116 ceramic cups and 284 plastic cups were sold
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(2) 3.5p+%2B+4c+=+1458
3.5%2A284+%2B+4%2A116+=+1458
994+%2B+464+=+1458
The value of the plastic cups sold was $994
The value of the ceramic cups sold was $464