4 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.

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Let's break down the problem step by step.

1. **Define the Ratios:**
   - Let the shares of Andreas, Isla, and Paulo be $$ 3k $$, $$ 2k $$, and $$ 5k $$ respectively.

2. **Total Shares:**
   - The total amount of money shared is $$ 3k + 2k + 5k = 10k $$.

3. **Relationship Between Shares:**
   - It's given that Isla and Paulo together receive £76 more than Andreas.
   - Mathematically, $$ 2k + 5k = 3k + 76 $$.
   - Simplifying, $$ 7k = 3k + 76 $$.
   - Subtract $$ 3k $$ from both sides: $$ 4k = 76 $$.
   - Solving for $$ k $$: $$ k = \frac{76}{4} = 19 $$.

4. **Calculate Andreas's Share:**
   - Andreas's share is $$ 3k = 3 	imes 19 = £57 $$.

5. **After Buying the Video Game:**
   - Andreas spends £48.50 on a video game.
   - Remaining money: $$ 57 - 48.50 = £8.50 $$.

**Answer:**  
After buying the video game, Andreas has £8.50 left.
Andreas has £8.50 left after buying the video game.

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