Dividing walnuts into crates

There are 8 and 2 over 3 pounds of walnuts in a container. The walnuts will be divided equally into containers that hold 1 and 1 over 5 pounds. This would fill n and four over 18 containers. What is n?

Final Answer:

n =  7

Step-by-step explanation:

$$\begin{gathered} m_1=8\frac{2}{3}=8+\frac{2}{3}=\frac{8\cdot 3+2}{3}=\frac{24+2}{3}=\frac{26}{3}=8\frac{2}{3}\doteq 8.6667\text{lb} \\ c=1\frac{1}{5}=1+\frac{1}{5}=\frac{1\cdot 5+1}{5}=\frac{5+1}{5}=\frac{6}{5}=1\frac{1}{5}=1.2\text{lb} \\ {m}_1/c=n+\frac{4}{18} \\ n=m_1/c-\frac{4}{18}=\frac{26}{3}/\frac{6}{5}-\frac{4}{18}=7 \end{gathered}$$

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