How is ratio solved?

£180 prize money needs to be split 3 ways, into 1st, 2nd & 3rd place, in the ratio of 5:3:1. how much does 1st, 2nd & 3rd place get?? 1) 5+3+1= 9 2) £180/9= £20 3) 1st = 5 x £20 = £100 (1st place gets £100) 4) 2nd = 3 x £20 = £60 (2nd place gets £60) 5) 3rd = 1 x £20 = £20 (3rd place gets £20) you can check by adding up your totals and they should match the total prize money.