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.
[tex]5x-3x=12[/tex]
[tex]2x=12[/tex]
[tex]x=\dfrac{12}{2}[/tex]
[tex]x=6[/tex]
Now,
[tex]\text{Tom's share}=3x[/tex]
[tex]\text{Tom's share}=3(6)[/tex]
[tex]\text{Tom's share}=18[/tex]
Therefore, money received by Tom is £18.
