Answer:
25
Explanation:
In order to solve this the easiest way you can use equivalent fractions.
[tex]\frac{4}{5} = \frac{20}{?}\\[/tex]
Since 4 times 5 equals 20 we can multiply 5 times 5 to get our answer.
[tex]\frac{4}{5} * \frac{5}{5} = \frac{20}{25}[/tex]
25 is the answer. But, if we couldn't have gotten to 20 through the multiplication we could use a proportion. That would look like the initial problem but instead of a "?" we would use a variable. I will use t for total.
[tex]\frac{4}{5} = \frac{20}{t}\\[/tex]
So now we have our problem set up. The next step is to cross multiply. 4 by t and 5 by 20.
[tex]4t = 5 * 20\\4t = 100\\[/tex]
And now we can solve it like a normal algebra problem.
[tex]\frac{4}{4}t = \frac{100}{4}\\t = 25[/tex]
Either way, we get 25.
