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
+118690 
