A sum

A sum of money is shared between Peter, John and Henry in the ratio 2:3:5.
a) express Henry's share as fraction of John's share.
b) what fraction of the whole sum of money is John's share?

Correct answer:

a =  1.6667
J =  0.3

Step-by-step explanation:

$$\begin{gathered} P:J:H=2:3:5 \\ P={\displaystyle \frac{2}{2+3+5}}={\displaystyle \frac{1}{5}}=0.2 \\ J={\displaystyle \frac{3}{2+3+5}}={\displaystyle \frac{3}{10}}=0.3 \\ H={\displaystyle \frac{5}{2+3+5}}={\displaystyle \frac{1}{2}}=0.5 \\ a=H\mathrm{/}J=0.5\mathrm{/}0.3={\displaystyle \frac{5}{3}}=1\frac{2}{3}=1.6667 \end{gathered}$$

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