Question

Paul, Colin and Brian are waiters.

One night the restaurant earns tips totalling £71.10.
They share the tips in the ratio 2:3:4.
How much more does Colin get over Paul?

Answer 1

£7.90

add the parts of the ratio 2 + 3 + 4 = 9 parts

divide £71.10 by 9 to find one part of the ratio

`(71.10)/(9)` = £7.90 ← 1 part of the ratio

2 parts = 2 × £7.90 = £15.80 ← Paul's share

3 parts = 3 × £7.90 = £23.70 ← Colin's share

4 parts = 4 × £7.90 = £31.60 ← Brian's share

Colin receives £23.70 - £15.80 = £7.90 more than Paul