Dividing walnuts into crates

There are 8 and 2 over 3 pounds of walnuts in a container, which will be divided equally into containers that hold 1 and 1 over 5 pounds. This would fill n and 4 over 18 containers. What is n?

Correct answer:

n =  7

Step-by-step explanation:

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

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