Question

Paul plans to put concrete on a rectangular portion of a driveway. The portion is 12 feet long and 6 inches high. The price of the concrete is $98.00 per cubic yard. The total cost of the concrete Paul needs is $108.89. What is the width of the driveway in feet which Paul plans to put concrete?

Answer 1

Answer: 5 ft

Explanation:

Step 1: Find the volume of the driveway (in cubic yds)

`\$ 108.89/(\$98)/(yds^3)=\$ 108.89*(yds^3)/(\$98)=\boxed{(10)/(9)yds^3}`

Step 2: Use the Volume formula (V = length × width × heighth) to find w

(convert each measurement into yds)

`V=l* w* h\\\\(10)/(9)yds^3=12ft\bigg((1yd)/(3ft)\bigg)* w* 6in\bigg((1ft)/(12in)\bigg)\bigg((1yd)/(3ft)\bigg)\\\\\\(10)/(9)yds^3=4yds* w* (1)/(6)yds\\\\\\(10)/(9)yds^3=(2)/(3)yds^2* w\\\\\\(3)/(2yds^2)* (10)/(9)yds^3=w\\\\\\(5)/(3)yds=w\\\\\\(5)/(3)yds*(3ft)/(1yd)=w\\\\\\\large\boxed{5 ft=w}`