To find out how much more Beth gets than Amy, we can use the ratio between their shares. The given ratio is 3:5, which means that for every 3 units Amy gets, Beth gets 5 units.
Since we know that Amy gets £21, we can set up a proportion to find out Beth's share.
3 units (Amy's share) = £21
5 units (Beth's share) = ?
To find Beth's share, we can cross-multiply and divide:
(5 units / 3 units) = (Beth's share / £21)
Simplifying this, we get:
5/3 = Beth's share / £21
Now, we can solve for Beth's share by multiplying both sides of the equation by £21:
(5/3) * £21 = Beth's share
Calculating this, we find that Beth gets £35.
To find out how much more Beth gets than Amy, we can subtract Amy's share (£21) from Beth's share (£35):
Beth's share - Amy's share = £35 - £21
Therefore, Beth gets £14 more than Amy.