Group

A group of kids wanted to ride. When the children were divided into groups of 3 children, one remain. When divided into groups of 4 children, 1 remains. When divided into groups of 6 children, 1 remains. After divided into groups of 5 children, no one left. How many are there?

Correct answer:

n =  25

Step-by-step explanation:

$$\begin{gathered} n-1=3x \\ n-1=4y \\ n-1=6z \\ n=5p \\ n=25 \\ \text{ Verifying Solution: } \\ x=(n-1)\mathrm{/}3=(25-1)\mathrm{/}3=8 \\ y=(n-1)\mathrm{/}4=(25-1)\mathrm{/}4=6 \\ z=(n-1)\mathrm{/}6=(25-1)\mathrm{/}6=4 \\ p=n\mathrm{/}5=25\mathrm{/}5=5 \end{gathered}$$

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