Question

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

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