Liam had 75% more magnets than John at first. Liam gave away 200% as many magnets as John. John was left with 25% of the magnets he had at first. What fraction of Liam's magnets did he have in the end?

Tgfromthe4 Apr 19, 2021

#1**+1 **

Let John start with x magnets and Liam start with (7/4) x magnets

Note that 200% as many must be twice as many (100% as many would be the same number given away)

Then John ended up with v/4 magnets and gave away (3/4)x

Liam gave away 2 ( 3/4)x = 6/4x magnets and was left with x/4 magnets

Notice that they end up with the same number....so John has 100% of Liam's magnets

CPhill Apr 19, 2021