Camping trip

A group of friends on a camping trip has 3 2/5 lb of trail mix. They divide it up evenly among themselves. Each person gets 1/5 lb of the trail mix.

How many friends are on the camping trip?

Correct answer:

n =  17

Step-by-step explanation:

$$\begin{gathered} m=3\frac{2}{5}=3+\frac{2}{5}=\frac{3\cdot 5+2}{5}=\frac{15+2}{5}=\frac{17}{5}=3\frac{2}{5}=3.4\text{lb} \\ {m}_1=\frac{1}{5}=0.2\text{lb} \\ n=m/m_1=\frac{17}{5}/\frac{1}{5}=\frac{17}{5}:\frac{1}{5}=\frac{17}{5}\cdot \frac{5}{1}=\frac{17\cdot 5}{5\cdot 1}=\frac{85}{5}=17 \end{gathered}$$

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