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Sue decided to make more orange flavored desserts and picked more oranges. She used 1/6 gal less juice to make popsicles than to make candy. She used 1/3 gal more juice to make candy than to make sorbet. If she used 1/2 gal of juice to make the popcicles, how much juice did she use to make the sorbet?

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Answer:

1/3 gallon

Step-by-step explanation:

Given:

Let Gallon used to make :

Sorbet = x

candy = x + 1/3

Popsicles = x + 1/3 - 1/6

If gallon of juice used to make popsicles is 1/2 ; gallon of juice used to make sorbet is :

1/2 = x + 1/3 - 1/6

1/2 - 1/3 + 1/6 = x

L. C. M of 2, 3 and 6 = 6

(3 - 2 + 1) / 6 = x

2/ 6 = x

1/ 3 = x

Hence. Gallon of juice used to make sorbet = x = 1/3 gallon