Chad buys

Chad buys peanuts in 2-pound bags. He repackages them into bags that hold 5/6 pound off peanuts. How many 2 pound bags of peanuts should Chad buy so that he can fill the 5/6-pound bags without having any peanuts left over?

Correct answer:

x =  5

Step-by-step explanation:

$$\begin{gathered} m_1=2\text{ lb } \\ {m}_2={\displaystyle \frac{5}{6}}\doteq 0.8333\text{ lb } \\ x\cdot m_1=k\cdot m_2 \\ 2x=5\mathrm{/}6\cdot k \\ 12x=5k \\ x=5 \\ k=12 \\ \text{ Verifying Solution: } \\ {M}_1=x\cdot m_1=5\cdot 2=10 \\ {M}_2=k\cdot m_2=12\cdot 0.8333=10 \end{gathered}$$

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