Question

You need 2 3/4 wheelbarrows of sand to make 8 wheelbarrows of concrete. how much sand will you need to make 248 cubic feet of concrete

A. 84 cubic feet
B. 85 1/4 cubic feet
C. 682 cubic feet
D. Not enough info

Answer 1

8 ÷ (2 3/4) = 32/11

248 ÷ (32/11) = B. 85 1/4 cubic feet

Answer 2

Option B.

Explanation:

We need
`2(3)/(4)` wheelbarrows of sand for 8 wheelbarrows of concrete.

That means ratio between sand and concrete is
`2(3)/(4):8`

Or
`(11)/(4):8`

Now we have to calculate the amount of sand to make 248 cubic feet of concrete.

If the amount of sand required is x cubic feet then the ratio of sand and concrete will be x : 248.

Since both the ratios should be same therefore,

`(x)/(248)=((11)/(4) )/(8)`

`(x)/(248)=(11)/(32)`

x =
`(11* 248)/(32)`

x =
`(2728)/(32)`

x =
`(341)/(4)`

=
`85(1)/(4)` cubic feet

Option B will be the answer.