Lauren coordinates a construction projects for a cement company. A government project requires constructing two rectangular concrete slabs of dimensions 24 * 24 * 1 feet. Additionally, the company sends a 20% surplus of concrete to ensure the job can be completed. If a cement truck can carry a maximum of 8 cubic yards of cement, what's the fewest number of trucks that Lauren should send? A) 1 B) 2 C) 3 D) 4 E) 5

7

Step-by-step explanation:

Total concrete for slabs

24 * 24 * 1 = 576 ft³

Additional 20 %

By rule of three

if 576 ⇒ 100

x? ⇒ 20 x = 115,2

And there are 2 slabs, the total volume of concrete is:

Q (t) = 2 * (576 + 115,2) Q (t) = 1382,4 ft³ (1)

If the truck can carry a maximum of 8 yd³, as 1 ft³ = 0,037 yd³

then a truck can carry a maximum of

8 / 0,037 = 216,21 ft³

Now the total quantity is 1382,4

Then

1382,4/216,21 = 6,39

And as nobody can send a fraction of a truck, the fewest number of truck is 7