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Question

Anne, Paul and Theresa shared a sum of money. Anne received 1/3 of the sum. Paul and Theresa shared the remainder in the ratio 5:3.

 

Find the ratio in which the sum of money was shared among the three children.

Answer 1

If the remaining ration was 5:3, then Paul got 5/8 and Theresa got 3/8.  You get the denominator by adding the two amounts together.

 

There was 2/3 left which was divided between Paul and Theresa, so we multiply their shares by the 2/3 that was left.  We then find a common denominator for all three, which turns out to be 24.

 

Paul   5/8 of 2/3 = 10/24

Theresa   3/8 of 2/3 = 6/24

Anne got 1/3 = 8/24

 

We can then reduce all three shares

Paul 5/12

Theresa 1/4

Anne 1/3

 

Hope this helps, Kevin!