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?

Answer 1

Answer: £91

Explanation:

Let x be the amount of money Jim gets

Let x + 39 be the amount of money Gavin gets

Given information

Ratio = 5 : 2 (Gavin to Jim)

Jim = x

Gavin = x + 39

Set up proportion

5 / 2 = (x + 39) / x

Cross multiply to reduce fraction form

5x = 2 (x + 39)

Expand parentheses and apply the distributive property

5x = 2 · x + 2 · 39

5x = 2x + 78

Subtract 2x on both sides

5x - 2x = 2x + 78 - 2x

3x = 78

Divide 3 on both sides

3x / 3 = 78 / 3

x = 26

Find the amount of money they get altogether

Gavin + Jim

=x + 39 + x

=(26) + 39 + (26)

=65 + 26

=
`\boxed{91}`

Hope this helps!! :)

Please let me know if you have any questions

Answer 2

They got $91 in total

Explanation:

I did some trial and error and when I reached 65 dollars for Gavin I realized that Jim would be $29. So 65 - 29 = $39. Btw substitute $ for £