Question

Ruth and Alison shared a sum of money in a ratio 4 : 7 . Alison received 60 dolla more than Ruth . Alison gave 35 dolla to Ruth . Find a new ratio of the amount of money Ruth had to amount of money Alison had in the end.

Answer 1

4:7
7-4=3
if al has 60 more than ruth
60=3 units
divide by 3
20=1unit
20 times 4=80
20*7=140
so ruth:alison=80:140
alisonn gave 35 to ruth
80+35=115
140-35=105
so ruth:alson=115:105=23:21

new ratio is 23:21