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

I believe the answer would be 4/6 which would simplify to 2/3...

Derek and Eric share £30 in the ratio 2:3. How much - id302315208260, hannahbeccahxo9681

areebaali1205

24.01.2022

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

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

that is ;

$\sf2x$

and

$\sf3x$

Now, according to question ~

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

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

$\qquad \sf \dashrightarrow \: x = 30 \div 5$

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

So, Derek gets :

$\qquad \sf \dashrightarrow \: 2x = 2 \times 6 = £12$

And Eric gets :

$\qquad \sf \dashrightarrow \: 3x = 3 \times 6 =£ 18$

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