Given:
Stephen and Bridget win some money and share it in the ratio 4:1.
Stephen gets £33 more than Bridget.
To find:
The money they get altogether.
Solution:
Let Stephen and Bridget will get the amount of 4x and x respectively.
Stephen gets £33 more than Bridget.
[tex]4x-x=33[/tex]
[tex]3x=33[/tex]
Divide both sides by 3.
[tex]x=11[/tex]
Now,
Stephen get: [tex]4(11)=44[/tex]
Bridget get: [tex]11[/tex]
Total amount = [tex]44+11=55[/tex]
Therefore, the amount they will get altogether is £55.
