Problema Solution
A contractor buys 18 yd of nylon carpet and 20 yd of wool carpet for $1920. a second purchase, at the same prices, includes 20 yd of nylon carpet and 25 yd of wool carpet for $ 2275. find the cost per yard of the wool carpet.
Answer provided by our tutors
Let
n = the cost per yard of the nylon carpet
w = the cost per yard of the wool carpet
18 yd of nylon carpet and 20 yd of wool carpet cost $1920:
18n + 20w = 1920
20 yd of nylon carpet and 25 yd of wool carpet cost $ 2275:
20n + 25w = 2275
We have the following system of equations:
18n + 20w = 1920
20n + 25w = 2275
........
click here to see the system of equations solved for n and w
........
n = $50 per yard
w = $51 per yard
The wool carpet's cost is $51 per yard.