Chocolate candy ratio

I have a box that contains white, milk, and dark chocolate candies. The ratio of white to milk candies is 3:4. The ratio of white to dark candies is 4:3. The least amount of candies in the box if the conditions of the ratio of candies are met.

Final Answer:

n =  37

Step-by-step explanation:

$$\begin{gathered} n=a+b+c \\ a:b=3:4 \\ a:c=4:3 \\ 4a=3b \\ 3a=4c \\ 12a=9b \\ 12a=16c \\ 12a=9b=16c \\ a=12 \\ b=16 \\ c=9 \\ n=a+b+c=12+16+9=37 \end{gathered}$$

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