2 people are going to cover their roof with cedar shingles. Their roof has an area of 2,025 square feet. The shingles they want to use come in bundles of 100 square feetand are only sold in full bundles. Each bundle costs $171.95. They will need to hire a trained specialist to help them with the work. The specialist charges a flat fee of $500 plus $25.00 an hour. The specialist will complete half of the roof. It will take the 2 people 2hours to attach a bundle of shingles. How much will it cost to shingle their roof?
To calculate the cost of shingling the roof, we need to consider the cost of the shingles and the cost of the specialist's fee.
First, let's determine the number of shingle bundles needed to cover the roof. The roof has an area of 2,025 square feet, and each shingle bundle covers 100 square feet. Therefore, the number of shingle bundles required is:
Number of bundles = Roof area / Coverage per bundle
Number of bundles = 2,025 sq ft / 100 sq ft
Number of bundles = 20.25
Since shingle bundles can only be purchased in full bundles, we need to round up to the nearest whole number. Therefore, they will need to purchase 21 shingle bundles.
Next, let's calculate the cost of the shingles. Each bundle costs $171.95, and they need 21 bundles. Therefore, the cost of the shingles is:
Cost of shingles = Price per bundle * Number of bundles
Cost of shingles = $171.95 * 21
Cost of shingles = $3,612.95
Now, let's calculate the cost of the specialist's fee. The specialist charges a flat fee of $500 plus $25.00 per hour. Since the specialist will complete half of the roof, we need to calculate the time it will take for the 2 people to attach the shingle bundles.
It takes them 2 hours to attach a bundle of shingles, so the total time required to install all 21 bundles is:
Total time = Time per bundle * Number of bundles
Total time = 2 hours/bundle * 21 bundles
Total time = 42 hours
The specialist charges $25.00 per hour, so the cost of the specialist's fee is:
Specialist's fee = Flat fee + (Hourly rate * Total time)
Specialist's fee = $500 + ($25.00/hour * 42 hours)
Specialist's fee = $500 + $1,050
Specialist's fee = $1,550
Finally, we can calculate the total cost of shingling the roof by summing the cost of the shingles and the specialist's fee:
Total cost = Cost of shingles + Specialist's fee
Total cost = $3,612.95 + $1,550
Total cost = $5,162.95
Therefore, it will cost $5,162.95 to shingle their roof.