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?
Answers
Answer:
Paul had £40.
Step-by-step explanation:
the excess of £32 equalises the money shared.
and the total division was 13+5 = 18 parts.
dividing this equally would mean 9 : 9 ratio
so, in other words - to boost the portion of Paul from 5 parts to 9 parts, it took £32 to be transferred.
This means (9-5=4) 4 parts were given to Paul to equalise.
So, therefore 4 stands for £32
which means 1 part is equal to 32 / 4
which is equal to 8.
Now, as Paul had 5 parts originally, it means that:
he had 5 x 8 = 40
so, Paul had £40 under the original distribution of money in ratio 13:5. Dan must have had 13 x 8 = £104.
when Dan gives away £32 to Paul, he is left with £104 - £32 = £72.
and Paul gets £32, plus the £40 he already got under the 13:5 distribution. So, he now has £32 + £40 = £72.
Therefore, now Dan and Paul both have £72 each.
So, now distribution is 1:1.
Answer:
40
Step-by-step explanation: