The renovation took 14 days ⇒ answer A
Step-by-step explanation:
Chance has hired a construction crew to renovate his kitchen
We need to find for how long the renovation took
Assume that the renovation took x days
∵ The renovation took x days
∵ The number of square feet is 198 more than the number of days
∴ The number of square feet = x + 198
∵ They charge $3.55 per square foot
∵ They charge $121.26 per day of labor
∴ The cost of renovation = 3.55(x + 198) + 121.26(x)
- Simplify the expression
∴ The cost of renovation = 3.55 x + 702.9 + 121.26 x
- Add like terms
∴ The cost of renovation = 124.81 x + 702.9
∵ Chance spent $2,450.24 on the renovation
- Equate the cost of renovation by the money that Chance spent
on the renovation
∴ 124.81 x + 702.9 = 2,450.24
- Subtract 702.9 from both sides
∴ 124.81 x = 1,747.34
- Divide both sides by 124.81
∴ x = 14
The renovation took 14 days
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