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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