SOLUTION: meg sold 3 sticks of gum and 3 packs of gum for $48. John sold 7 sticks of gum and 9 packs of gum for $132. what is the cost for 1 stick and 1 pack of gum?

Question 825556: meg sold 3 sticks of gum and 3 packs of gum for $48. John sold 7 sticks of gum and 9 packs of gum for $132. what is the cost for 1 stick and 1 pack of gum?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
meg sold 3 sticks of gum and 3 packs of gum for $48. John sold 7 sticks of gum and 9 packs of gum for $132. what is the cost for 1 stick and 1 pack of gum?
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Equations:
3s + 3p = 48
7s + 9p = 132
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Modify for elimination:
9s + 9p = 3*48
7s + 9p = 132
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Subtract and solve for "s":
2s = 12
s = $6 (price of 1 stick of gum)
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Solve for "p":
s + p = 16
6 + p = 16
p = $10 (price of 1 pack of gum)
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Cheers,
Stan H.
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