SOLUTION: A young woman is furnishing her first apartment. She buys four plates and three glasses for $13.14 at the secondhand furniture store. If a plate costs 87 cents more than a glass,

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Question 507733: A young woman is furnishing her first apartment. She buys four plates and three glasses for $13.14 at the secondhand furniture store. If a plate costs 87 cents more than a glass, how much does each item cost?

Answer by oberobic(2304) About Me  (Show Source):
You can put this solution on YOUR website!
p = price of a plate
g = price of a glass
p = g + 87 cents
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4p + 3g = 1314 cents
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substitute p = g+87
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4(g+87) +3g = 1314
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4g + 348 + 3g = 1314
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7g + 348 = 1314
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7g = 1314-348
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7g = 966
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g = 138 cents
g = $1.38
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p = 138 + 87
p = 225
p = $2.25
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check the answer
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4*225 = 900
3*138 = 414
900 + 414 = 1314
correct
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Answer: Plates cost $2.25 and glasses are $1.38.
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Done.