Matt plans to put concrete on a rectangular portion of his driveway. The portion is 8 feet long and 4 inches high. The price of concrete is $98 per cubic yard. The total cost of the concrete Matt needs is $58.07. Which of the following is closest to the width of the portion of the driveway on which Matt plans to put concrete?
[1 foot = 12 inches; 1 yard = 3 feet]
A. 0.5 feet
B. 1.5 feet
C. 3 feet
D. 6 feet
My difficulty here is if iguring out the with or is it not vital to the situation.
THANKS SO MUCH FOR ALL THE EFFORT AND TIME YOU PUT INTO HELPING ME.
Convert first the cost of 98 /yd³ by the conversion factor that 1 yd³ = 27 ft³.
(98 /yd³) (1 yd³ / 27 ft³) = 3 17/27/ft³
Let x be the width, the volume of the rectangular portion of the driveway is,
V = (8 ft) (1/3 ft) x = 8x/3 ft³
Using the given total cost of the protion,
C = $58.07 = (8x/3 ft³)($ 3 17/27/ft³)
x = 5.99957 ft
Thus, the answer is d. 6 feet.
D. 6 feet is correct.
This one is a little dificult, Nickolas....
We need to put every thing in terms of yards and then solve for the width
8 ft = 96 in / 36 in = 8/3 yds
4 in = 4/36 = 1/9 yds
Length * Height * Width = Total Volume ....so....
L * H * W = Total Volume
(8/3) (1/9) * W =
(8/27) * W
Total cost = Total Volume * Cost per cubic yard
( Note that W will be in terms of yards )
58.07 = [ (8/27] * W * 98
58.07 = W * [8/27] * 98
58.07 = W * [ 784 / 27 ] multiply both sides by 27 / 784
58.07 * [ 27 / 784 ] = W ≈ 1.999 = 2 (yards) = 6 feet
You probably have some questions about this one....it's harder than the others you have submitted