Final answer:
To find the total amount of money Gavin and Jim got all together, we need to solve the equation 5x = x + £39, where x represents the amount Jim received. The total amount is £58.50.
Step-by-step explanation:
To find the total amount of money that Gavin and Jim got altogether, we need to first determine the amounts they each received. Let's say the amount Jim received is represented as 'x'. According to the ratio of 5:2, Gavin received 5 times the amount Jim received, so Gavin received 5x.
We're given that Gavin gets £39 more than Jim, so we can set up the equation: 5x = x + £39. Simplifying this equation, we get 4x = £39. Dividing both sides by 4, we find that x = £9.75.
Now, we can calculate the total amount they got altogether by adding the amounts Jim and Gavin received: £9.75 + 5(£9.75) = £9.75 + £48.75 = £58.50.