A contractor buys 16 yd of nylon carpet and 22 yd of wool carpet for $1902. A second purchase, at the same prices, includes 20 yd of nylon carpet and 21 yd of wool carpet for $2033. Find the cost per yard of the wool carpet.

$53

Step-by-step explanation:

Given that, two type of clothes nylon and wool carpet.

Let the price of one yard of nylon carpet = $

Let the price of one yard of wool carpet = $

Price for 16 yd of nylon carpet and 22 yd of wool carpet = $1902

Price for 20 yd of nylon carpet and 21 yd of wool carpet = $2033

Writing equations as per given statement:

Here, we have to find the value of .

By equation (1), we get:

Putting the value from equation (3) to equation (2):

Therefore, the cost per yard for the wool carpet is $53.