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# WorkKeys Advanced ratios, rate & proportions

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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? Aug 16, 2022 ### 1+0 Answers #1 +118477 +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

Aug 17, 2022