Question

A family consumes 5/8 of a one gallon container of milk every three days worth of milk every three days. How much milk does the family consume in 4 days. Write in simplest form

Answer 1

Essentially what you're given is the following

$[total gallons for the specified time] = [gallons]*[days]$

The easiest way to approach this problem is to use the given information to find the amount of milk the family consumes over the course of a day.

$\frac{5}{8} = g*3\\\\\frac{5}{8} = 3g\\\\\frac{5}{8 * 3} = g\\\\g = \frac{5}{24}$

So now that we know that the family drinks $\frac{5}{24}$ gallons of milk each day, we can multiply by the desired amount of days to discover how much milk the family drinks over that period of time.

$g = \frac{5}{24} * days\\g = \frac{5}{24} * 4\\g = \frac{20}{24}\\g = \frac{5}{6}$

So from this, we now know that the family drinks $\frac{5}{6}$ gallons of milk over the course of 4 days.