High School

Kyle is renovating the first floor of his home. He bought 650 square feet of carpet flooring and 800 square feet of vinyl flooring and paid $3,214. He went back to the store and bought an additional 190 square feet of carpet flooring and 80 square feet of vinyl and paid $556.40.

Find the cost per square foot of each type of flooring.

Define the variables:
- \( x = \) cost per square foot of carpet flooring
- \( y = \) cost per square foot of vinyl flooring

Linear System:
- \( 650x + 800y = 3214 \)
- \( 190x + 80y = 556.40 \)

Answer :

Step-by-step explanation:

we can define the variables as follows:

x = cost per square foot of carpet flooring

y = cost per square foot of vinyl flooring

Then, we can write two equations to represent the total cost of the first purchase and the total cost of the second purchase:

650x + 800y = 3214 (the total cost of the first purchase)

190x + 80y = 556.40 (the total cost of the second purchase)

This gives us a system of linear equations that we can solve simultaneously to find the cost per square foot of each type of flooring

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