SOLUTION: Joe spends $13 on mints and gum. Each mint costs $2, each gum costs $0.50. He purchases three times as many mints as gum. Find the number of mints and gum he purchases?

Algebra ->  Customizable Word Problem Solvers  -> Evaluation -> SOLUTION: Joe spends $13 on mints and gum. Each mint costs $2, each gum costs $0.50. He purchases three times as many mints as gum. Find the number of mints and gum he purchases?      Log On

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Question 938871: Joe spends $13 on mints and gum. Each mint costs $2, each gum costs $0.50. He purchases three times as many mints as gum. Find the number of mints and gum he purchases?
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +m+ = number of mints he buys
Let +g+ = number of gums he buys
-----------------
(1) +m+=+3g+
(2) +2m+%2B+.5g+=+13+
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Substitute (1) into (2)
(2) +2%2A%283g%29+%2B+.5g+=+13+
(2) +6.5g+=+13+
(2) +g+=+2+
and
(1) +m+=+3g+
(1) +m+=+3%2A2+
(1) +m+=+6+
------------------
He buys 6 mints and 2 gums
check:
(2) +2m+%2B+.5g+=+13+
(2) +2%2A6+%2B+.5%2A2+=+13+
(2) +12+%2B+1+=+13+
OK