SOLUTION: A contractor buys 20 yd^2 of nylon carpet and 28 yd^2 of wool carpet for $1300. A second purchase, at the same prices, includes 15 yd^2 of nylon carpet and 20 yd^2 of wool carpet f
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-> SOLUTION: A contractor buys 20 yd^2 of nylon carpet and 28 yd^2 of wool carpet for $1300. A second purchase, at the same prices, includes 15 yd^2 of nylon carpet and 20 yd^2 of wool carpet f
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Question 1050456: A contractor buys 20 yd^2 of nylon carpet and 28 yd^2 of wool carpet for $1300. A second purchase, at the same prices, includes 15 yd^2 of nylon carpet and 20 yd^2 of wool carpet for $945. Find the cost per square yard of the wool carpet. Answer by ikleyn(52803) (Show Source):
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A contractor buys 20 yd^2 of nylon carpet and 28 yd^2 of wool carpet for $1300. A second purchase, at the same prices,
includes 15 yd^2 of nylon carpet and 20 yd^2 of wool carpet for $945. Find the cost per square yard of the wool carpet.
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The condition says:
20*N + 28*W = 1300, (1) ("20 yd^2 of nylon carpet and 28 yd^2 of wool carpet for $1300")
15*N + 20*W = 945. (2) ("the second purchase . . . )
You have the system of two equations in two unknowns
N is the price for 1 yd^2 nylon carpet
W is the price for 1 yd^2 wool carpet.
Solve it by any method you know.
