Answer:
£39
Step-by-step explanation:
Let Gavyn's share = x
Since, Sarah gets £26 more than Gavyn.
Sarah's Share = x+26
Equating the Ratio of their Shares and the actual sum received
x+26 : x = 5:3
Converting to Fractions
[tex]\dfrac{x+26}{x}=\dfrac{5}{3}[/tex]
Cross multiply
5x=3(x+26)
5x=3x+78
5x-3x=78
2x=78
Divide both sides by 2
x=39
Therefore: Gavyn's share x = £39
