Ratio (sharing an amount among 3 people)

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SUMMARY

The discussion centers on the distribution of a total amount among three individuals: Andreas, Isla, and Paulo. The calculation reveals that 7 parts equate to £76 more than 3 parts, leading to the conclusion that 4 parts equal £76, thus establishing that 1 part is worth £19. Consequently, Andreas receives £57, Isla receives £38, and Paulo receives £95, with Andreas having £8.50 remaining after his expenses.

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Homework Statement
Andreas, Isla and Paulo share some money in the ratios 3:2:5. The total amount of money that Isla and Paulo receive is £76 more than the amount of money that Andreas receives. Andreas buys a video game for £48.50 with some of his share of the money. Work out how much money Andreas has left from his share of the money when he has bought the video game.
Relevant Equations
3+2+5 = 10 parts
So 7 parts is worth £76 more than 3 parts which means that

4 parts = £76

So 1 part = £19

Therefore Andreas gets £57, Isla gets £38 and Paulo gets £95.

So Andreas has £57 - £48.50 = £8.50 left

Is this correct please?
 
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