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Find the cost per yard of the wool carpet

Allen buys 16 yards of nylon carpet and 20 yards of wool carpet for $1840. A second purchase, at the same prices, includes 18 yards of nylon carpet and 25 yards of wool carpet for $2200. Find the cost per yard of the wool carpet.

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Brad M. | Professional Tutor: STEM plus Business, Acc'ting, Investment, EditingProfessional Tutor: STEM plus Business,...
4.9 4.9 (222 lesson ratings) (222)
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Hey Donald -- we can "rescale" the 1st buy up by 25% ... 20N + 25W is $2300 ...
 
2 extra N's cost 100 ... N= 50, 25W is 1300 ... 100W = 5200 ==> W= $52 ... Regards :)
Amarjeet K. | Professional Engineer for Math and Science TuroringProfessional Engineer for Math and Scien...
4.6 4.6 (8 lesson ratings) (8)
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Nylon carpet cost = x, Wool carpet cost = y
 
First purchase
16x + 20 y = 1840
 
Second purchase
18x + 25y = 2200
 
Solve these two simultaneous equations and find x and y