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?

Respuesta :

They share the tips in the ratio 2:5:1.

It means , the total share is 8 ,

that 2 out of 8 is the share of Paul

5 out of 8 is the share of Colin

And 1 out of 8 is the share of Brain


Now total tip = 78.40


Share of Paul = [tex] \frac{2}{8} *78.40 = 19.6 [/tex]

Share of Colin = [tex] \frac{5}{8} *78.40 = 49 [/tex]

And

Share of Brian = [tex] \frac{1}{8} *78.40= 9.8 [/tex]

The difference in their amount will be £29.40

Total amount = £78.40

Paul's share = 2/(2+5+1) × £78.40

= 2/8 × £78.40

= £19.60

Colin's share will be:

= 5/8 × £78.40

= £49

Brian's share will be:

= 1/8 × £78.40

= £9.80

The difference between Colin's amount and Paula will be:

= £49 - £19.60

= £29.40

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