# Jane had a bottle filled with juice. At first, Jane drank 1/5 the 1/4, followed by 1/3. Jane checked how much juice was left in the bottle: there was 2/3 of a cup left. How much juice was in the bottle originally?

##### 2 Answers

Bottle originally had

#### Explanation:

As Jane first drank

Let us assume there were

Jane first drank

then she drank

and then she drank

and

As

each unit must be

=

Hence bottle originally had

Based on the stated assumption:

I chose the presentation to show the way of thinking when doing algebra.

#### Explanation:

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Total drank

Consider the denominators. I chose to do it this way:

Convert all the denominators into

Note that 47 is a prime number so this can not be simplified

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We need to change the

Multiply both sides of Equation(1) by