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