Question

You drank 8/9 cups of orange juice with your breakfast. If this is 2/3 of the amount that was in the container, how much was in the container?

Answer 1

1 1/3 cups of juice

Explanation:

Let the volume of the container be c, which is measured in cups.

Then (2/3)c = (8/9) cups juice. We must solve this for the container volume, c.

(8/9) cups

c = ----------------

2/3

Inverting the divisor (2/3) and multiplying, we get:

3(8/9 cups)

c = ------------------ = 12/9 cups, or 4/3 cups, or 1 1/3 cups.

2

The container originally held 1 1/3 cups of joice.