A roofing crew can install 35 squares per day. The project requires 280 squares. Crew cost is $2,400/day, and material cost is $165/square. What is the total cost?
Correct Answer
C) $65,400
Days needed: 280 ÷ 35 = 8 days. Labor cost: 8 × $2,400 = $19,200. Material cost: 280 × $165 = $46,200. Total: $19,200 + $46,200 = $65,400.
Why This Is the Correct Answer
Days needed: 280 ÷ 35 = 8 days. Labor cost: 8 × $2,400 = $19,200. Material cost: 280 × $165 = $46,200. Total: $19,200 + $46,200 = $65,400.
Why the Other Options Are Wrong
Option A: $66,400
$66,400 results from a $1,000 arithmetic error — likely computing materials as 280 × $165 = $46,200 correctly but using 9 days for labor (9 × $2,400 = $21,600 - $800 offset) or a rounding error in days.
Option B: $65,600
$65,600 is $200 over the correct answer and may result from rounding 280/35 up to 8.something days and applying a partial day charge, or a minor multiplication error.
Option D: $66,000
$66,000 could result from using $2,400/day × 8 days = $19,200 for labor but computing materials as 280 × $167 ≈ $46,760, or other rounding variations that inflate the total by $600.
Memory Technique
Three steps: (1) Days = Total squares ÷ Daily rate. (2) Labor = Days × Daily crew cost. (3) Materials = Total squares × Cost per square. Then add. Never skip step 1.
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