Banana distribution

The children shared 48 bananas on the trip. Some children took 1 banana each, 6 children took 2 bananas each, and last, Anna was the only one who did not take even 1 banana. How many children were on the trip?

Final Answer:

n =  35

Step-by-step explanation:

$$\begin{gathered} 48=a+2b \\ b=a-6 \\ 48=a+2(a-6) \\ 48=a+2\cdot (a-6) \\ 3a=60 \\ a=\frac{60}{3}=20 \\ a=20 \\ b=a-6=20-6=14 \\ n=a+b+1=20+14+1=35 \end{gathered}$$

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