Dan and Paul share some money in the ratio 13:5.

Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.

How much did Paul originally have?

Guest Nov 22, 2017

#1**+2 **

Dan and Paul share some money in the ratio 13:5.

Dan decides this is unfair so he gives Paul £32 of his share to make the ratio 1:1.

How much did Paul originally have?

Call Paul's original money, P

Call Dan's original money (13/5)P

So, when Dan gives Paul £32 their money is equal...so we have

(13/5)P - 32 = P + 32 add 32 to both sides

(13/5)P = P + 64 subtract P from both sides

(8/5)P = 64 multiply both sides by (5/8)

P = 64 (5/8) = £40

Proof

Paul starts with £40

Dan starts with (13/5) * 40 = £104

Paul ends up with 40 + 32 = £72

Dan ends up with 104 - 32 = £72

So....each has equal money, i.e., a 1: 1 ratio

CPhill Nov 22, 2017