Answer:
Altogether Gavin and Jim won £95.
Step-by-step explanation:
We are given the following in the question:
Ratio of money won by Gavin and Jim = 5:2
Gavin gets £39 more than Jim.
Let x be the amount of money Won by Jim.
Then, money won by Gavin =
[tex]=(x+39)[/tex]
Thus, we can write the equation:
[tex]\dfrac{\text{Gavin}}{\text{Jim}} = \dfrac{5}{2}=\dfrac{x+39}{x}[/tex]
Solving, we get,
[tex]\dfrac{5}{2}=\dfrac{x+39}{x}\\\\5x = 2x + 78\\\Rightarrow 3x = 78\\\Rightarrow x = 26\\\Rightarrow (x+39) = 65[/tex]
Thus, Gavin won £65 and Jim won £26.
Money won altogether =
[tex]=65 + 26\\=95[/tex]
Thus, altogether Gavin and Jim won £95.
