Answer to Question #90998 in Algebra for Stuart Thompson

Question

Share £48 between Alan and Barbara in the ratio 2:1

Answer 1

We first look at the numbers involved and see the total number of parts into which the money is split.  The ratio is 2 to 1. So the total number of parts is 2 plus 1, which is 3.

Hence 1 part is equal to

$$1 part = \frac {£48} {3} = £16$$

Thus, Alan receives 2 parts, which is 2 × £16 = £32 and Barbara receives 1 part, which is 1 × £16 = £16. 

Answer. Alan receives £32 and Barbara receives £16.