Question

Paul, Colin and Brian are waiters. One night the restaurant earns tips totalling £78.40. They share the tips in the ratio 2:5:1. How much more does Colin get over Paul?

Answer 1

Answer:

29.4 euros

Step-by-step explanation:

total tip = 78.40 euros

ratio = 2:5:1

so to solve this, first we need to know that the ratio shows in how many parts is the total quantity split and how much did each person(in this case)get.

so the total parts the amount is split in is

2+5+1=8

lets consider each part to be worth $x$

so

$2x+5x+1x = 8x$

the total parts the 78.40 is split in is 8, each part therefore is worth $\frac{78.40}{8}$ which is $9.8$

now that we have got the value of each part, we can find the amount each waiter gets.

paul- 9.8×2 = 19.6 euros

Colin- 9.8×5 = 49 euros

Brian-9.8×1 = 9.8 euros

now for the 2nd part of the question, we subtract the value of the tips colin and paul got , 49-19.6=29.4 euros

colin got 29.4 euros more than paul

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