Question

George's sandbox requires 32 cubic feet of sand to fill how many bags of sand does he need to fill the sand box if each bag holds 2/3 cubic feet of sand

Answer 1

48 bags are needed by George to fill his sandbox.

Explanation:

Given:

Total capacity of the sandbox (V) = 32 cubic feet

Capacity of each bag = (B) =
`(2)/(3)` cubic feet

Now, number of bags required (N) = ?

The formula to find the total number of bags required to fill the sandbox is given as:

`Number\ of\ bags=(Total\ capacity\ of\ sandbox)/(Capacity\ of\ each\ bag)\\\\N=(V)/(B)`

Now, plug in the given values and solve for 'N'. This gives,

`N=32/(2)/(3)`

In order to multiply a whole number with a fraction, we replace the division sing by multiplication and take the reciprocal of the fractional number. This gives,

`N=32* (3)/(2)\\\\N=(32* 3)/(2)\\\\N=16* 3=48`

Therefore, 48 bags are needed by George to fill his sandbox.