Respuesta :
Beth got £12 than Amy.
- Let the amount Amy got be A.
- Let the amount Beth got be B.
Given the following data:
- Amount Amy got = £18.
- Ratio of Amy to Beth = 3 : 5
To find how much more Beth got than Amy:
First of all, we would have to solve for Beth's share from the money.
[tex]A : B = 3 : 5\\\\18 : B = 3 : 5\\\\\frac{18}{B} = \frac{3}{5}[/tex]
Cross-multiplying, we have;
[tex]18[/tex] × [tex]5[/tex] = [tex]3[/tex] × [tex]B[/tex]
[tex]90 = 3B\\\\B = \frac{90}{3}[/tex]
Beth, B = £30
[tex]Difference = 30 - 18[/tex]
Difference = £12
Therefore, Beth got £12 than Amy.
Read more: brainly.com/question/12212308