Question

Ruby is 6, Edward is 8, Claire is 9, David is 14 and Emma is 15. They are given birthday money in the ratio of their ages. In total they receive £156. How much do they each receive?​

Answer 1

Ruby=18, Edward=24, Charlie=27, David=42, Emma=45

Explanation:

sum of ratios is 52

for each one write the ratio over the sum of ratio multiplied by total amount

`(6)/(52) *156`=18

`(8)/(52) *156`=24

`(9)/(52) * 156`=27

`(14)/(52) * 156`=42

`(15)/(52) * 156`=45

and to check add all of them and they give 156 pounds

Answer 2

Ruby: £18

Edward: £24

Claire: £27

David: £42

Emma: £45

Explanation:

6 + 8 + 9 + 14 + 15 = 52

Each one receives the following fraction of the total:

Ruby: 6/52

Edward: 8/52

Claire: 9/52

David: 14/52

Emma: 15/52

Ruby: 6/52 × £156 = £18

Edward: 8/52 × £156 = £24

Claire: 9/52 × £156 = £27

David: 14/52 × £156 = £42

Emma: 15/52 × £156 = £45

Answer:

Ruby: £18

Edward: £24

Claire: £27

David: £42

Emma: £45