Let's say Chloe spent X
Then Amy spent 60% more so Amy spent
X+60% of X =X + 0.6X =1.6X
Becky spent 15% of what Chloe spent so amount spent by Becky =15% of X = .15X
Now, in total, they spent 0.15X+ X + 1.6X =2.75X which is given as £55
So , X=55/2.75 = 20
Amount spent by Amy = 1.6X = 1.6 *20 =£32