Question

Derek and Eric share £30 in the ratio 2:3. How much does Eric get?

Answer 1

`\quad \qquad\huge \underline{\boxed{\sf Answer}}`

Let's assume the ratio constants in terms of x ~

that is ;

• 
  `\sf2x`

and

• 
  `\sf3x`

Now, according to question ~

`\qquad \sf \dashrightarrow \: 2x + 3x = 30`

`\qquad \sf \dashrightarrow \: 5x = 30`

`\qquad \sf \dashrightarrow \: x = 30 / 5`

`\qquad \sf \dashrightarrow \: x = 6`

So, Derek gets :

`\qquad \sf \dashrightarrow \: 2x = 2 * 6 = £12`

And Eric gets :

`\qquad \sf \dashrightarrow \: 3x = 3 * 6 =£ 18`