Paul, Colin and Brian are waiters. One night the restaurant earns tips totalling £77.40. They share the tips in the ratio 2:3:4. How much more does Brian get over Paul?

Answer:   £17.20=====================================================Explanation:x is some positive number such that the earnings of Paul, Collin, and Brian are 2x, 3x and 4x in that orderThe ratio 2x:3x:4x reduces to 2:3:4 when we divide all parts by xThe total amount of tips was 77.40 poundsThis means,(Paul's Share)+(Collin's Share)+(Brian's Share) = Total Tips(2x)+(3x)+(4x) = 77.409x = 77.40x = 77.40/9x = 8.6Use that x value to find each of their share of tipsPaul's Share = 2x = 2*8.6 = 17.20 poundsCollin's Share = 3x = 3*8.6 = 25.80 poundsBrian's Share = 4x = 4*8.6 = 34.40 poundsAs a check, note how 17.20+25.80+34.40 = 77.40The last step is to subtract the values for Brian and Paul34.40 - 17.20 = 17.20Brian earned £17.20 more in tips compared to Paul.