Question

Tom and Sarah share some money in the ratio 3 : 5. If Sarah has £12 more than Tom, how much money does Tom have?

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Answer 1

Given:

Tom and Sarah share some money in the ratio 3 : 5.

Sarah has £12 more than Tom.

To find:

The money does Tom have.

Solution:

Let the amount of money Tom and Sarah share are 3x and 5x respectively.

Sarah has £12 more than Tom. So, the difference between Sarah and Tom's share is £12.

`5x-3x=12`

`2x=12`

`x=(12)/(2)`

`x=6`

Now,

`\text{Tom's share}=3x`

`\text{Tom's share}=3(6)`

`\text{Tom's share}=18`

Therefore, money received by Tom is £18.