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

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