It takes 830 bricks to construct a wall that measures 14 feet 9 inches long and 6 feet high. The crew you hire can lay 300 bricks/hour. The cost of the labor is $4,000 per eight-hour workday and you can pay for a partial day. You need to build a wall 36' 6" long and 6' high. How much will the new wall cost? $3,400.20 $1,383.53 $3,423.35 $10,256.51

$3,400.20

$1,383.53

$3,423.35

10,256.51

i know that i need to convert the daily rate into hourly rate but i dont know what the daily rate is

is the answer d?

hint "You will need to convert the daily rate into an hourly rate by dividing by 8. You will also need to determine a brick-per-square-foot rate."

critical
Oct 15, 2018

#1**+2 **

Let us find the area for 830 bricks

14 ft 9 in =14. 75 ft

So 14.75 * 6 = 88.5 sq ft

The required wall square footage =

36 ft 6 in = 36.5 ft * 6ft = 219 sq ft

So...the number of bricks required for the new wall can be found by a proportion

N / 219 = 830 / 88.5 multiply both sides by 219

N = 219 * 830 / 88.5 ≈ 2054 bricks

It will take

[2054/ 300 ] hrs to construct the wall

And the hourly rate is 4000/8 = $500

So...the total cost ≈ [2054/ 300] * 500 = $ 3423.16

The third answer seems the closest [the difference is due to rounding by me ]

CPhill
Oct 15, 2018