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Caroline, Colin & Sarah share some money. Caroline gets 1/9 of the money. Colin and Sarah share the rest in the ratio 3:1. What proportion does Colin get?

MathsMia  Feb 21, 2017

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 #4
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Thanks!wink

MathsMia  Feb 21, 2017
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 #1
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Colin and Sarah get  1 - 1/9  = 8/9 of the money

 

A ratio   of 3 :1 means that there are 4 parts  of  the 8/9....so....each part  =  8/9 * 1/4  = 8/36  = 2/9

 

And Colin gets 3 parts of  the  8/9  =  3 * 2/9  =  6/9   = 2/3 of the money

 

 

cool cool cool

CPhill  Feb 21, 2017
 #3
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smiley Thanks a lot!

MathsMia  Feb 21, 2017
 #2
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Caroline, Colin & Sarah share some money. Caroline gets 1/9 of the money. Colin and Sarah share the rest in the ratio 3:1. What proportion does Colin get?

 

Let the amount of money shared =M

Caroline's share is =1/9M, then Colin and Sarah's share will be:

1 - 1/9M =8/9M, then we have:

8/9M / 4 =8/9M x 1/4 =8/36M, then:

8/36M x 3 =24/36M =2/3M - This is Colin's share.

8/36M =2/9M - This is Sarah's share. So that:

2/3M:2/9M = 3:1 Ratio. And also,

1/9M + 2/3M + 2/9M =M

Guest Feb 21, 2017
 #4
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Thanks!wink

MathsMia  Feb 21, 2017
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the anser 14

Guest Feb 22, 2017

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