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Roberto shares a bag of almonds with 2 friends. He shares 1/8 bag with Jeremy and 2/8 bag with Emily. He eats 3/8 bag of the almonds himself. What fraction of the almonds do Roberto and his friends eat?

User Alex Panov
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1 Answer

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Answer:The fraction of the almonds that Roberto and his friends ate is 3/4

Explanation:

Let x represent the total number of almonds in the bag initially. He shares 1/8 bag with Jeremy. This means that the amount of almonds that he gave to Jeremy is 1/8 × x = x/8

He shares 2/8 bag with Emily. This means that the amount of almonds that he gave to Emily is 2/8 × x = 2x/8

He eats 3/8 bag of the almonds himself. This means that the amount of almonds that he ate is 3/8 × x = 3x/8

Total number of almonds that Robert and his friends ate would be

x/8 + 2x/8 + 3x/8 = 6x/8 = 3x/4

The fraction of the almonds that Roberto and his friends ate would be

(3x/4)/x = 3/4

User Simendsjo
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