Question

OA building contraction is to dig a foundation 30 foot long, 16 foot wide, and 3 foot doop. The contractor poys 120 por food for trucks to remove the dirt Eachtruck holds5 cubleyards What is the cost to the contractor to have all the dirt hauled away?The cost to the contractor in sQuestion ViewerEnter your answer in the verbox

Answer 1

First, let's calculate the volume of dirt that would have to be removed to dig the foundation.

`\begin{gathered} 30ft\rightarrow10yd \\ 15ft\rightarrow5yd \\ 3ft\rightarrow1yd \\ \\ 10yd\cdot5yd\cdot1yd=50yd^3 \end{gathered}`

Therefore, 50 cubic yards would have to be removed in order to dig the foundation.

Now, let's use a rule of three to calculate the loads needed to move such volume of dirt:

This way,

`x=(50)/(5)\rightarrow x=10`

10 loads would be needed.

To calculate the total cost, multiply the cost per load by the number of loads:

`10\cdot20=200`

Therefore, it would cost the contractor $200 to get all the dirt hauled away