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trasher [3.6K]
3 years ago
15

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?

Mathematics
2 answers:
ozzi3 years ago
7 0

Answer:

They got $91 in total

Step-by-step 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 £

marin [14]3 years ago
3 0

Answer: £91

Step-by-step explanation:

Let x be the amount of money Jim gets

Let x + 39 be the amount of money Gavin gets

<u>Given information</u>

Ratio = 5 : 2 (Gavin to Jim)

Jim = x

Gavin = x + 39

<u>Set up proportion</u>

5 / 2 = (x + 39) / x

<u>Cross multiply to reduce fraction form</u>

5x = 2 (x + 39)

<u>Expand parentheses and apply the distributive property</u>

5x = 2 · x + 2 · 39

5x = 2x + 78

<u>Subtract 2x on both sides</u>

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

3x = 78

<u>Divide 3 on both sides</u>

3x / 3 = 78 / 3

x = 26

<u>Find the amount of money they get altogether</u>

Gavin + Jim

=x + 39 + x

=(26) + 39 + (26)

=65 + 26

=\boxed{91}

Hope this helps!! :)

Please let me know if you have any questions

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