Question

David and Mark make some money and share it in the 3: 2 ratio. David receives 8 GBP more than Mark. How much did Mark get?​

Answer 1

Mark get 16£

Explanation:

`M-\text{Mark's money}\ (\£)\\M+8-\text{David's money}\ (\£)\\3:2-\text{ratio}\\\\(M+8):M=3:2\\\\(M+8)/(M)=(3)/(2)\qquad\text{cross multiply}\\\\3M=2(M+8)\qquad\text{use the distributive property}\ a(b+c)=b+ac\\\\3M=2M+(2)(8)\qquad\text{subtract}\ 2M\ \text{from both sides}\\\\3M-2M=2M-2M+16\\\\M=16`