SOLUTION: A discount store sold plastic cups for $3.50 each and ceramic cups for $4.OO each.If 400 cups were sold for a total of $1,458, how many cups of eacj type were sold? What was the do

Question 252396: A discount store sold plastic cups for $3.50 each and ceramic cups for $4.OO each.If 400 cups were sold for a total of $1,458, how many cups of eacj type were sold? What was the dollar value of each type of cup sold?
Answer by drk(1908) (Show Source): You can put this solution on YOUR website!
What we have here is the classic money problem. You will set up two equations with two unknowns. The first equation I call the "value" equation. It deals with the money. Don't use decimals or dollar signs.The second equation I call the "number" equation. It tells you total number of items. So, here they are:

here I use P = plastic and C = ceramic.
step #1 - multiply the second equation by -4.

step #2 - You can see by adding down, we eliminate the C values.

step #3 - Solving for P. we get P = 288. We can easily see that C = 112.
Now the total amount spent on plastic cups was 3.5(288) = $1,008, and the total amount spent on ceramic cups was 112(4) = $448.
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