Bundle of candies

The store has 168 chocolates, 224 caramel candies, and 196 hard candies. How many identical packages can we make, and how many of each candy will be in each package?

Final Answer:

n =  28
b =  21

Step-by-step explanation:

$$\begin{gathered} 168=2^3\cdot 3\cdot 7 \\ 224=2^5\cdot 7 \\ 196=2^2\cdot 7^2 \\ \text{GCD}(168,224,196)=2^2\cdot 7=28 \\ n=GCD(168,224,196)=28 \end{gathered}$$

$b=(168+224+196)/n=(168+224+196)/28=21$

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