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

Answer:

48 bags are needed by George to fill his sandbox.

Step-by-step explanation:

Given:

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

Capacity of each bag = (B) = $\frac{2}{3}$ 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:

$Number\ of\ bags=\frac{Total\ capacity\ of\ sandbox}{Capacity\ of\ each\ bag}\\\\N=\frac{V}{B}$

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

$N=32\div\frac{2}{3}$

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,

$N=32\times \frac{3}{2}\\\\N=\frac{32\times 3}{2}\\\\N=16\times 3=48$

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