Question

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.

Answer 1

The total cost will be $11,083

Explanation:

The total time taken to build the wall = 40 hours

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

`3*14*40=1680` dollars

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

`6*24*40=5760` dollars

Cost of materials = $3143

Profit amount added = $500

The estimated cost becomes:

`1680+5760+3143+500=11083` dollars

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

Answer 2

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:

`3* 40* 14=` $1680

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

`6* 40* 24=` $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:

`Cost = 1680+5760+3143+500`

The estimated total cost is:

Cost =$11083