Each day Heather drinks 2/5 cup of juice in the morning afternoon when she gets home from school. How many days will it take Heather to drink 3 cups of juice?

1 Answer
Morgan S.
Jan 23, 2018

It’ll take Heather #7.5# days, which can be rounded to #8# days.

Explanation:

Let #d# denote the number of days it will take Heather to drink #3# cups of juice.

So, we have the equation: #\frac{2}{5}d=3#.

We can isolate for #d# by multiplying both sides by the reciprocal of #d#’s coefficient:

#cancel(\frac{5}{2})\cdotcancel(\frac{2}{5})d=3\cdot\frac{5}{2}#

#\rightarrow d=\frac{15}{2}#

This means it will take Heather #7.5# days to drink #3# cups of juice, which we can round up to #8# for simplicity’s sake.

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