Question

Chance has hired a construction crew to renovate his kitchen. They charge $3.89 per square foot for materials and $121.26 per day of labor. Chance spent $2,982.68 on the renovation. If the number of square feet is 252 more than the number of days it took for the renovation, how long did the renovation take?

A.
19 days
B.
16 days
C.
3 days
D.
14 days

Answer 1

The answer to your question is: letter B. 16 days

Explanation:

Materials = $3.89 square foot

Day of labor = $121.26

Total $2982.68

Square feet = 252 more than the number of days

Process

materials = days of labor + 252

materials = m

days of labor = d

m = d + 252 (I)

Total Equation

3.89m + 121.26d = 2982.68

3.89(d + 252) + 121.26d = 2982.68

3.89d + 980.28 + 121.26d = 2982.68

3.89d + 121.26d = 2982.68 - 980.28

125.15d = 2002.4

d = 16

Number of days 16.