Dividing Chocolate Fairly

Granddaughter Mia helped the old for 3 days, Ema for 2 days, and Zoja for 4 days. If the grandmother wants to reward her granddaughters fairly according to how long they have been helping her, in what proportion should she divide the chocolate among her granddaughters?

Final Answer:

r = 3:2:4

Step-by-step explanation:

$$\begin{gathered} a=3\text{d} \\ b=2\text{d} \\ c=4\text{d} \\ s=a+b+c=3+2+4=9\text{d} \\ {r}_1=a:s=3:9=\frac{1}{3}\doteq 0.3333=1:3 \\ {r}_2=b:s=2:9=\frac{2}{9}\doteq 0.2222 \\ {r}_3=c:s=4:9=\frac{4}{9}\doteq 0.4444 \\ r=r_1:r_2:r_3 \\ r=3:2:4 \end{gathered}$$

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