Xavier, Yi, and Zazoo decide to share their lottery winnings of £11000 such that Yi has three times as much as Zazoo and Xavier has half of Yi’s winnings. How much should each receive?

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Answer:

2000 ; 6000 ; 3000

Step-by-step explanation:

Given:

Total lottery winning = £11,000

Let :

Zazoo's share = x

Yi's share = 3x

Xavier's share = 3/2x

Total share = (x + 3x + 3/2x) = 5.5x

Total winning / total share

x = £11000 / 5.5

= 2000

Zazoo's share = £2000

Yi's share (2000 * 3) = £6000

Xavier's share = 3/2 * 2000 = £3000