A masonry contractor is preparing an estimate for building a stone wall and gate. He estimates that the job will take a​ 40-hour work week. He plans to have three laborers at ​$14 per hour and six masons at ​$24 per hour.​ He'll need ​$3143 worth of materials and wishes to make a profit of ​$500. Write a mathematical statement that will give the estimated cost of the job. Then calculate this total.

Respuesta :

Solution: Estimated time for the work is 40 hour work week.

Estimated payment to 3 laborers working 40 hours at cost $14 per hour is:

[tex]3\times 40\times 14=[/tex] $1680

Estimated payment to 6 masons working 40 hours at cost $24 per hour is:

[tex]6\times 40\times 24=[/tex] $5760

Estimated cost of material = $3143

Contractor wishes to make a profit of $500

Therefore, the mathematical expression that will give the estimated cost of the job is:

[tex]Cost = 1680+5760+3143+500[/tex]

The estimated total cost is:

Cost =$11083




Answer:

The total cost will be $11,083

Step-by-step explanation:

The total time taken to build the wall = 40 hours

There will be 3 labors at ​$14 per hour totaling to =

[tex]3\times14\times40=1680[/tex] dollars

There will be 6 masons at $24 per hour totaling to =

[tex]6\times24\times40=5760[/tex] dollars

Cost of materials = $3143

Profit amount added = $500

The estimated cost becomes:

[tex]1680+5760+3143+500=11083[/tex] dollars

Hence, the total cost will be = $11,083