SOLUTION: There are 24 pieces of gum in a bag. Some are spearmint and the rest are peppermint. If each spearmint piece cost you 7 cents and each peppermint cost 5 cents, how many of each fl

Algebra ->  Expressions -> SOLUTION: There are 24 pieces of gum in a bag. Some are spearmint and the rest are peppermint. If each spearmint piece cost you 7 cents and each peppermint cost 5 cents, how many of each fl      Log On


   

Question 811220: There are 24 pieces of gum in a bag. Some are spearmint and the rest are peppermint. If each spearmint piece cost you 7 cents and each peppermint cost 5 cents, how many of each flavor do you have if together they cost you $1.40?
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
x and y for counts of the spearmint and the peppermint.

x%2By=24 and 7x%2B5y=140

Note carefully that the 140 is in units of "CENTS".

Multiply the mint count equation by 5, and subtract it from the money account equationn, and directly solve for x. Use this value to find y.