Question

Rachel and David share 40 biscuits between them in the ratio 2:3, How many biscuits do they each get?

Answer 1

$Rachel\ \ \ \rightarrow\ 2\ parts\ of\ the\ biscuits\\David\ \ \ \rightarrow\ 3\ parts\ of\ the\ biscuits\\\\\\Rachel\ \ \ \rightarrow\ \frac{2}{5} \cdot40=\frac{2}{5} \cdot5\cdot8=2\cdot8=16\ [biscuits]\\\\David\ \ \ \rightarrow\ 40-16=24\ [biscuits]$

Answer 2

The ratio 2 : 3 means that for every 5 biscuits, Rachel gets 2 and David 3.

As there are 8 lots fo 5 in 40, Rachel must get 8 x 2 (16 biscuits) and David 8 x 3 (24 biscuits).