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12 March, 13:10

Anna and Bill share some money in the ratio 2:5

Anna gets £A

Bill gets £B

Carl and Donna share twice as much money as Anna and Bill share.

They share the money in the ratio 3:1

Carl gets £C

Donna gets £D

Find A:B:C:D in its simplest form

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  1. 12 March, 13:34
    0
    Let the total amount of money that Anna and Bill shared be £ x

    amount of money Anna received will be £A=2/7x

    amount of money Bill received will be £B=5/7x

    let the total amount of money that Carl and Donna shared be £ 2x

    amount of money received by Carl is £C=3/4 (2x) = 3/2x

    amount of money received by Donna is £D=1/4 (2x) = 1/2x

    the ratio of money received by them altogether will be:A:B:C:D

    this is equal to:

    2/7x:5/7x:3/2x:1/2x

    this can be simplified to:

    2/7:5/7:3/2:1/2

    this can further be simplified to:

    (2/7*14) : (5/7*14) : (3/2*14) : (1/2*14)

    hence we shall have:

    4:10:21:7
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