How to solve this problem can any one figure this out for me?

Question

Chance has hired a construction crew to renovate his kitchen. They charge $3.55 per square foot for materials and $121.26 per day of labor. Chance spent $2,450.24 on the renovation. If the number of square feet is 198 more than the number of days it took for the renovation, how long did the renovation take?

 A. 

14 days

 B. 

12 days

 C. 

3 days

 D. 

17 days

Answer 1

Let x = number of days it took for the renovation

x+198 = the number of square feel

Material cost + Labor cost = Total cost

3.55(x+198)+121.26x = 2450.21 Use the distributive property to get rid of the parenthesis

3.55x+702.90+121.26x = 2450.21 combine like terms

124.81x+702.90 = 2450.21 Subtract 702.90 from both sides of the equation

124.81x+702.90-702.90 = 2450.21-702.90 Simplify

124.81x=1747.34 Divide both sides by 124.81

124.81x/124.81=1747.34/124.81 simplify

x=14