Question

ASAP Josh and Leon have £73 in total. They each spend £5. Josh now has 25% more than Leon. How much more money did Josh have than Leon at the start?

Answer 1

£7

Explanation:

Let's call Josh's money 'J' and Leon's money 'L'.

Then, we can write the following system of equations:

`J + L = 73`

`(J - 5) = 1.25(L - 5)`

From the first equation, we have:

`J = 73 - L`

Using this value of 'J' in the second equation, we have:

`(73 - L - 5) = 1.25(L - 5)`

`68 - L = 1.25L - 6.25`

`2.25L = 74.25`

`L = 33`

`J = 73 - L = 73 - 33 = 40`

At the start Josh has £40 and Leon has £33, so the difference is:

`J - L = 40 - 33 = 7`