Question

Chance has hired a construction crew to renovate his kitchen. They charge $3.92 per square foot for materials and $124.26 per day of labor. Chance spent $3,233.54 on the renovation. If the number of square feet is 269 more than the number of days it took for the renovation, how long did the renovation take?

A. 20 days

B. 17 days

C. 3 days

D. 15 days

Please show your work so I can understand how you got the answer. :)

Answer 1

Answer:

  B.  17 days

Step-by-step explanation:

We want to know how many days it took, so it is convenient to define the variable x as the number of days. Then the number of square feet is (x+269) and the total cost is ...

  124.26x +3.92(x+269) = 3233.54

  128.18x + 1054.48 = 3233.54 . . . . . . . . simplify

  128.18x = 2179.06 . . . . . . . . . . . . . . . . . . subtract 1054.48

  2179.06/128.18 = x = 17 . . . . . . . . . . . . . divide by the coefficient of x

The renovation took 17 days.