Question

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?

Answer 1

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.