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
