The cost to purchase a particular type of hardwood flooring at Home Depot is $2.65 per square foot. In addition, the installation cost is $468.75. The cost to purchase the same flooring at Hardwood Guys is $3.10 per square foot. In addition, the installation cost is $412.50.

(a) Determine the number of square feet of this flooring that Roberto must purchase for the total cost of the flooring and installation to be the same from both stores.

(b) If Roberto needs to purchase and have installed 196 square feet of this flooring, which store would be less expensive?

Write a system of equations that can be used to solve the problem. Then solve the system and determine the answer.