# Gavin and Jim win some money and share it in the ratio 5:2. Gavin gets £39 more than Jim. How much did they get altogether?

3 answers

###### Question:

Gavin and Jim win some money and share it in the ratio 5:2. Gavin gets £39 more than Jim. How much did they get altogether?

## Answers

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.

idn

step-by-step explanation:

The correct awnser is 29.76 pounds.

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