Answer:

Bottle originally had

5

3

or

1

2

3

cups off juice.

Explanation:

As Jane first drank

1

5

, then

1

4

and then

1

3

and GCD of denominators

5

,

4

and

3

is

60

Let us assume there were

60

units of juice.

Jane first drank

60

5

=

12

units, so

60

−

12

=

48

units were left

then she drank

48

4

=

12

units, and

48

−

12

=

36

were left

and then she drank

36

3

=

12

units,

and

36

−

12

=

24

units left

As

24

units are

2

3

cup

each unit must be

2

3

×

1

24

cup and

60

units with which Jane started are equivalent to

2

3

×

1

24

×

60

=

2

3

×

1

2

×

2

×

2

×

3

×

2

×

2

×

3

×

5

2

3

×

1

2

×

2

×

2

×

3

×

2

×

2

×

3

×

5

=

5

3

Hence bottle originally had

5

3

or

1

2

3

cups off juice.