Question

5/4 gallons of water fill 5/6 of a bucket how many gallons of water fill the entire bucket

Answer 1

Answer:

$\frac{3}{2}$ gallons

Step-by-step explanation:

If $\frac{5}{4}$ gallons fill $\frac{5}{6}$ of a bucket.

Then we can write the ratio;

$\frac{5}{4}:\frac{5}{6}$

Let $x$ gallons fill the entire bucket which is equivalent to $1$.

Then we can again write the ratio;

$x:1$

We can write the following equation of proportion to solve for $x$.

$\frac{5}{4}:\frac{5}{6}=x:1$

This implies that;

$\frac{\frac{5}{4} }{\frac{5}{6} }=\frac{x}{1}$

We simplify to get;

$\frac{5}{4}\times \frac{6}{5} }=x$

$x=\frac{6}{4} =\frac{3}{2}$

Therefore $\frac{3}{2}$ gallons will fill the entire bucket