Asked by Sarah

A contractor buys 14 yd of nylon carpet and 20 yd of wool carpet for $1738. A second purchase, at the same prices, includes 16 yd of nylon carpet and 25 yd of wool carpet for $2102. Find the cost per yard of the wool carpet.
Answered by Steve
If they cost $n and $w per yard, then we have

14n+20w = 1738
16n+25w = 2102

Now just solve for n and w.