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# math level 7

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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

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."

Oct 15, 2018
edited by critical  Oct 15, 2018
edited by critical  Oct 15, 2018

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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 ]

Oct 15, 2018