Francesca and Shannon share some money in the ratio 3:5Shannon received £44 more than Francesca.How much money did they share?

Let's denote the amount of money Francesca received as $F$ and the amount Shannon received as $S$.

Given the ratio of their shares is 3:5, we can write: $\frac{F}{S} = \frac{3}{5}$

This implies: $5F = 3S$

We are also given that Shannon received £44 more than Francesca: $S = F + 44$

Now we have two equations:

1. $5F = 3S$
2. $S = F + 44$

Substitute the second equation into the first equation: $5F = 3(F + 44)$

Expand and simplify: $5F = 3F + 132$ $5F - 3F = 132$ $2F = 132$ $F = 66$

Now, substitute $F = 66$ back into the second equation to find $S$: $S = 66 + 44$ $S = 110$

So, Francesca received £66 and Shannon received £110.

The total amount of money they shared is: $66 + 110 = 176$

Therefore, they shared £176.