SOLUTION: A contractor buys 14 yd of nylon carpet and 20 yd of wool carpet for $1744. A second purchase, at the same prices, includes 16 yd of nylon carpet and 27 yd of wool carpet for $2221

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Question 1153958: A contractor buys 14 yd of nylon carpet and 20 yd of wool carpet for $1744. A second purchase, at the same prices, includes 16 yd of nylon carpet and 27 yd of wool carpet for $2221. Find the cost per yard of the wool carpet.
Answer by josgarithmetic(39629) About Me  (Show Source):
You can put this solution on YOUR website!
n for the nylon price
w for the wool price

system%2814n%2B20w=1744%2C16n%2B27w=2221%29

Simplification:
system%287n%2B10w=872%2C16n%2B27w=2221%29

Question asks for w.
7n=872-10w....
MAYBE better,
system%28112n%2B160w=13952%2C112n%2B189w=15547%29
E2-E1:
%28189-160%29w=15547-13952
.
.
highlight%28w=55%29 dollars per yard