4 Andreas, Isla and Paulo share some money in the ratios
The total amount of money that Isla and Paulo receive is more than the amount of
money that Andreas receives.
Andreas buys a video game for 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.

Ask by Adkins Ward. in Egypt

Jan 23,2025

Question

4 Andreas, Isla and Paulo share some money in the ratios
The total amount of money that Isla and Paulo receive is more than the amount of
money that Andreas receives.
Andreas buys a video game for 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.

Ask by Adkins Ward. in Egypt

Jan 23,2025

UpStudy AI · Accepted Answer

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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