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.
![4x-x=33](https://img.qammunity.org/2021/formulas/mathematics/high-school/6gicox0c2qwq929cpv3xemnjbd081rl6nv.png)
![3x=33](https://img.qammunity.org/2021/formulas/mathematics/high-school/i7k1da3ytoiut5h8qfl2xijsvk7peqq6ot.png)
Divide both sides by 3.
![x=11](https://img.qammunity.org/2021/formulas/mathematics/middle-school/qnx576ueidzhej5xuoco015weayss0eaec.png)
Now,
Stephen get:
![4(11)=44](https://img.qammunity.org/2021/formulas/mathematics/high-school/4oifqxrv8absf0t4dtgym1of2303ozhmhe.png)
Bridget get:
![11](https://img.qammunity.org/2021/formulas/mathematics/middle-school/p5szalzztq83hef5nswi6orfe85g5jdc6x.png)
Total amount =
![44+11=55](https://img.qammunity.org/2021/formulas/mathematics/high-school/hbwm5yopvpqmbga8fabqix9h8bgjyekvtv.png)
Therefore, the amount they will get altogether is £55.