Question

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

Answer 1

Answer:

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