Question

Felix and Matthew split a sum of money between them in the ratio 5 : 7. If Matthew has £20 more than Felix, what was the total amount that they split?

Answer 1

To find the total amount that Felix and Matthew split, we can set up a ratio equation and solve it to find the values for Felix and Matthew. The total amount they split is 120 pounds.

Step-by-step explanation:

To find the total amount that Felix and Matthew split, we can start by setting up a ratio equation. Let's assume that Felix gets 5x and Matthew gets 7x pounds. We are also told that Matthew has 20 pounds more than Felix, so we can write the equation as 7x = 5x + 20. Solving this equation gives us x = 10. Therefore, Felix gets 5x = 50 pounds and Matthew gets 7x = 70 pounds. The total amount they split is 50 + 70 = 120 pounds.