SOLUTION: A discount store sold plastic cups for $3.50 each and ceramic cups for $4 each. If 400 cups were sold for a total of $1458, how many cups of each type were sold? What was the doll

Algebra ->  Equations -> SOLUTION: A discount store sold plastic cups for $3.50 each and ceramic cups for $4 each. If 400 cups were sold for a total of $1458, how many cups of each type were sold? What was the doll      Log On


   

Question 281525: A discount store sold plastic cups for $3.50 each and ceramic cups for $4 each. If 400 cups were sold for a total of $1458, how many cups of each type were sold? 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
c=ceramic cups
p%2Bc=400
3.50p%2B4c=1458
u can use substitution or elimination method
i will use elimination method as it is easy and faster
p%2Bc=400 multiply by a -3.50
-3.50p-3.50c=-1400
3.50p%2B4c=1458 add them together
0.5c=58
c=116
3.5%28116%29=highlight%28406%29 dollars of ceramic cups
p%2Bc=400
p%2B116=400
p=284
4%28284%29=highlight%281136%29 dollars of plasitic cups