Explanation:
The question wants us to determine how much money would Cecelia save on flooring if she covered her entire house with carpet.
To do so, let us follow the steps below
Step 1: Find the 60% and 40% of the floor
Given: The total area is 2000 square foot
60% of 2000 square feet will be
[tex]60\text{\%}\times2000=\frac{60}{100}\times2000=1200\text{ square feet}[/tex]40% of 2000 square feet will be
[tex]\frac{40}{100}\times2000=800\text{ square feet}[/tex]Step 2
Find the amount it will cost to cover the pothouse with 60% Hardwood and 40%carpet
since 60% of the pothouse is 1200 square feet, and the cost per square foot is $7.75, then the total cost will be
[tex]\text{ \$}7.75\times1200\text{ =\$9300}[/tex]Also,
since 40% of the pothouse is 800 square feet, and the cost per square foot of carpet is $4.25, then the total cost will be
[tex]\text{ \$4.25}\times800=\text{ \$3400}[/tex]Thus, the total cost will be
[tex]\text{ \$9300+\$3400=\$12700}[/tex]Thus, it will cost $12700
Step 3: find the cost of covering the entire floor with carpet
[tex]\begin{gathered} =2000\times\text{ \$4.25} \\ =\text{ \$8500} \end{gathered}[/tex]If the floor was entirely covered with carpet, it would cost $8500
Step 4: Finally, we will find the difference in the answers of step 3 and step 2
That is, the amount of money that Cecelia would save on flooring if she covered her entire house with carpet would be
[tex]\text{ \$12700-\$8500=\$4200}[/tex]Therefore, Cecelia would save $4200
Option B is correct
