aliciaharrishawkins
aliciaharrishawkins aliciaharrishawkins
  • 03-03-2021
  • Mathematics
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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?

Respuesta :

erinna erinna
  • 08-03-2021

Given:

Total tip = £77.40

Paul, Colin and Brian share the tips in the ratio 2:3:4.

To find:

How much more does Brian get over Paul?

Solution:

Let the shares of Paul, Colin and Brian are 2x, 3x and 4x respectively.

[tex]2x+3x+4x=77.40[/tex]

[tex]9x=77.40[/tex]

[tex]x=\dfrac{77.40}{9}[/tex]

[tex]x=8.6[/tex]

Now, the different between Brian and Paul share is

[tex]Difference=4x-2x[/tex]

[tex]Difference=2x[/tex]

[tex]Difference=2(8.6)[/tex]

[tex]Difference=17.2[/tex]

Therefore, Brain get £17.2 much more over Paul.

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