SOLUTION: jack bought 3 slices of cheese pizza and 4 slice of mushroom pizza for a total cost of 12.50. grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a totla cost

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Question 200387: jack bought 3 slices of cheese pizza and 4 slice of mushroom pizza for a total cost of 12.50. grace bought 3 slices of cheese pizza and 2 slices of mushroom pizza for a totla cost of $8.50. what is the cost of one slice of mushroom pizza?
can you explain to me how to start the equation and then how to solve it

Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Let cheese pizza be C and mushroom pizza be M
Given 3C+%2B+4M+=+12.50
and
3C+%2B+2M+=+8.50
Using elimination
3C+%2B+4M+=+12.50
3C+%2B+2M+=+8.50
------------------------ subtract the second equation from the first one to get
2M+=+4.00
Solve for M
M+=+2.00 mushroom slice costs $2 each
Using that info, substitute for M in either equation to find C
3C+%2B+2M+=+8.50
3C+%2B+2%2A2+=+8.50
3C+%2B+4+=+8.50
3C+=+4.50
C+=+1.50