Lorenzo ate 2/5 of his bag of almonds. His 4 friends ate equal shares of the remaining bag of almonds. Which expression represents the almonds that each friend ate?

Question

Rosa Weeks

Mathematics

19 January, 10:24

Lorenzo ate 2/5 of his bag of almonds. His 4 friends ate equal shares of the remaining bag of almonds. Which expression represents the almonds that each friend ate?

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Answers (1)

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Kieran Larson · Answer 1

3/20

Step-by-step explanation:

If Lorenzo ate 2/5 of his almonds, then the rest of almonds is:

1 - 2/5 = 5/5 - 2/5 = 3/5

So, 3/5 is the share of almonds all the other friends ate. As each friend are the same share and there are 4 friends, so each friend are: (3/5) / 4 = 3 / (5*4) = 3/20

So, Lorenzo are 2/5 and each friend are 3/20. The total is:

2/5 + (3/20) * 4 = 2/5 + 12/20 = 8/20 + 12/20 = 20/20 = 1. So it verify