Kym is renovating the first floor of her home. she bought 750 square feet of laminate flooring and 525 square feet of carpet and paid $2717.25. she went back to the store and bought an additional 100 square feet of laminate flooring and 75 sqaure feet and paid $374.75. find the cost per square foot of each type of flooring

The cost per square foot of laminate flooring is $1.88 and the cost per square foot of carpet is $2.49

Step-by-step explanation:

Let

x -----> the cost per square foot of laminate flooring

y ----> the cost per square foot of carpet

we know that

750x+525y=2,717.25 -----> equation A

100x+75y=374.75 ------> equation B

Solve the system by graphing

The solution of the system is the intersection point both graphs

The solution is the point (1.88,2.49)

see the attached figure

therefore

The cost per square foot of laminate flooring is $1.88 and the cost per square foot of carpet is $2.49

When the lines are parallel, there are no solutions, and sometimes the two equations will graph as the same line, in which case we have an infinite number of solutions.

Step-by-step explanation: