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 :

The tip received by three of them - $77.40
They share in the ratio 2:3:4
The total number of units -2+3+4 = 9
9 units are for 77.40
Therefore 1 unit -77.4/9 = 8.6
Amount Brian receives - 4 units
Amount he gets - 8.6 x 4 = $34.4
Paul receives 2 units
His amount - 2x8.6 = $17.2
Brian receives 34.4 - 17.2 = $17.2 more than Paul

Brian got £17.20 more than Paul did.

Let x represent Brian share and let y represent Paul share.

Since they share the tips in the ratio 2:3:4, hence:

x = (4/9) * 77.40 = £34.40

y = (2/9) * 77.40 = £17.20

Share that Brian get over Paul = x - y = 34.40 - 17.20 = 17.20

Hence Brian got £17.20 more than Paul did.

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