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Re: Ratios please help! https://www.elevenplusexams.co.uk/forum/11plus/viewtopic.php?f=2&t=54966 
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Author:  angelfire777 [ Tue Aug 07, 2018 11:29 am ] 
Post subject:  Re: Ratios please help! 
Hi My daughter had this question on a practise paper: Peter, Alex and Michelle share sweets in a bag in the ratio 4:3:2 Michelle receives 8 How many sweets are there in the bag at the start? I was able to do it by looking at Michelle at the beginning and seeing what I needed to do to 2 to make it 8 i.e. times by 4 so times all the rest of the number by 4 then adding up the totals which came to the correct number 36. This is a long process though and in the back of the book they add 4+3+2 together then times it by 4. Why do you times it by 4? Thankyou! 
Author:  hermanmunster [ Tue Aug 07, 2018 11:59 am ] 
Post subject:  Re: Ratios please help! 
there must be a multiple of 4+3+2=9 in the bag, you know that Michelle gets 8 which is 4 times her share of the 9 so presume you then multiply 9*4 and get 36 
Author:  Surferfish [ Tue Aug 07, 2018 1:01 pm ] 
Post subject:  Re: Ratios please help! 
angelfire777 wrote: Hi My daughter had this question on a practise paper: Peter, Alex and Michelle share sweets in a bag in the ratio 4:3:2 Michelle receives 8 How many sweets are there in the bag at the start? I was able to do it by looking at Michelle at the beginning and seeing what I needed to do to 2 to make it 8 i.e. times by 4 so times all the rest of the number by 4 then adding up the totals which came to the correct number 36. This is a long process though and in the back of the book they add 4+3+2 together then times it by 4. Why do you times it by 4? Thankyou! I think that you've already answered your own question haven't you? You already worked out that you need to multiply each ratio by 4 and then total them up. It seems that all the book answer has done is to simplify the sum slightly by taking out the common factor of 4. i.e. 4 * 4 + 4 * 3 + 4 * 2 = 4 (4 + 3 + 2) 
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