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?

KFoster7 Aug 16, 2022

#1**+1 **

It takes 830 bricks to construct a wall that measures 14 feet 9 inches long and 6 feet high.

14*0.75*6= 63 feet square.

It takes 830 bricks to construct a wall that is 63 feet square

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. 36*0.5*6 = 108 square meters

How much will the new wall cost?

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Ok what do we have here.

\(\frac{830bricks}{63 feet square}\:,\qquad \frac{300bricks}{1 hour}\;,\qquad \frac{8hours}{1day}, \;\qquad \frac{$4000}{1day} \;,\qquad 108squarefeet\\~\\ \text{and you want the price in dollars}\\ \text{ I have to start with dollars on the top and put the others in order so that the other units all cancel out}\\ \text{like this}\\~\\ \frac{$4000}{1day}\times \frac{1day}{8hours}\times \frac{1hour}{300bricks}\times \frac{830bricks}{63square feet}\times108squarefeet\\~\\ =\$\frac{4000*830*108}{63}\\ =$5691.43 \)

I could easily have made a careless error but the method is sound.

LaTex

\frac{830bricks}{63 feet square}\:,\qquad \frac{300bricks}{1 hour}\;,\qquad \frac{8hours}{1day}, \;\qquad \frac{$4000}{1day}

\;,\qquad 108squarefeet\\~\\

\text{and you want the price in dollars}\\

\text{ I have to start with dollars on the top and put the others in order so that the other units all cancel out}\\

\text{like this}\\~\\

\frac{$4000}{1day}\times \frac{1day}{8hours}\times \frac{1hour}{300bricks}\times \frac{830bricks}{63square feet}\times108squarefeet\\~\\

=\$\frac{4000*830*108}{63}\\

=$5691.43

Melody Aug 17, 2022