Question

A contractor buys 16 yd of nylon carpet and 18 yd of wool carpet for $1740. A second purchase, at the same prices, includes 16 yd of nylon carpet and 21 yd of wool carpet for $1902. Find the cost per yard of the wool carpet.

$ _____ per yd

Answer 1

the cost per yard of the wool carpet is $54.

Explanation:

ure! We can solve this problem using a system of two equations. Let's denote the cost per yard of the nylon carpet as $x$, and the cost per yard of the wool carpet as $y$. Then we can set up two equations:

$16x + 18y = 1740$ (from the first purchase)

$16x + 21y = 1902$ (from the second purchase)

Now we can use any method we prefer to solve the system. One common method is to use elimination, which involves subtracting one equation from the other to eliminate one variable. In this case, we can subtract the first equation from the second equation:

$(16x + 21y) - (16x + 18y) = 1902 - 1740$

$3y = 162$

$y = 54$

Therefore, the cost per yard of the wool carpet is $54.