Division

Three siblings, Helena, Oliver, and George, split the bag with candies on merit in the ratio 1:10:2. How many candies should each get if in the bag were 169?

Final Answer:

x =  13
y =  130
z =  26

Step-by-step explanation:

$$\begin{gathered} x:y:z=1:10:2 \\ x+y+z=169 \\ 1a+10a+2a=169 \\ a=169/(1+10+2)=13 \\ x=1\cdot a=1\cdot 13=13 \end{gathered}$$

$y=10\cdot a=10\cdot 13=130$

$z=2\cdot a=2\cdot 13=26$

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