SOLUTION: Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of chocolate bar and the cost

Question 89189: Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of chocolate bar and the cost of a pack of gum.
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
Sally bought three chocolate bars and a pack of gum and paid $1.75. Jake bought two chocolate bars and four packs of gum and paid $2.00. Find the cost of chocolate bar and the cost of a pack of gum.
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Let "c" be the cost of a chocolate bar; Let "p" be the cost of a pack of gum.
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EQUATION:
3c+p = 1.75
2c+4p = 2.00
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Multiply the 1st equation by 4 to get:
12c+4p = 7
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Subtract the 2nd equation from that result to solve for c:
10c = 5
c = $0.50 (price of a chocolate bar)
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Substitute into 3c+p = 1.75 to solve for p:
3(0.50)+p = 1.75
1.50 + p = 1.75
p = $0.25 (price of a pack of gum)
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Cheers,
Stan H.

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