Question

it takes 830 bricks to construct a wall that measures 14 feet 9 inches long and 6 feet high . The crew you hired can lay 300 bricks per hour . The cost of the labor is $4,000 for 8 hour work day and you can pay for a partial day. You need to build a wall 36 foot 6 in long and 6 foot high. How much will the new wall cost?

Answer 1

We are given that 14 feet 9 inches long and 6 feet high wall takes 800 bricks. This means that the number of bricks per area B is given by:

`B=\frac{830\text{ bricks}}{(14.75ft)(6\text{ ft)}}`

Solving the operation:

`B=9.04bricks/ft^2`

Now we multiply this by the area of the new wall in order to determine the number of bricks needed:

`9.04bricks/ft^2*(36.5\text{ ft)(}6ft)=2053.8\text{ bricks}`

Since the crew lays 300 bricks per hour, we need to divide the number of bricks pér hour over the number of bricks in order to get the number of hours needed:

`\frac{2053.8\text{ bricks}}{300\text{ bricks/hour}}=6.84\text{ hours}`

Now we multiply by the price per eight hours to get the total cost:

`\frac{4000\text{ dollars}}{8\text{ hours}}*6.84hours=3423.2\text{ dollars}`