4/5 of Sarah's pens are equal to 1/3 of Matt's pens. Express the number of Matt's pens as a fraction of the total number of pens of he and Sarah have

Question

Hamza Barr

Mathematics

1 April, 15:15

4/5 of Sarah's pens are equal to 1/3 of Matt's pens. Express the number of Matt's pens as a fraction of the total number of pens of he and Sarah have

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Answers (1)

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Willow · Answer 1

Let us say that the number of pens that Matt has is x. Therefore the number of pen that Sarah has is:

Sarah pens = (5/4) (1/3) x = (5/12) x

So the total number of pens they have is:

total = x + (5/12) x = (17/12) x

Hence the fraction of Matts pen is:

fraction = x / [ (17/12) x]

fraction = 12/17