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,

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