A large 2

A large popcorn bag holds four times as much as a small popcorn bag at the end of the party, with 3 1/3 small bags and 2 1/4 large bags left. How many small bags with the leftover popcorn fill?

Correct answer:

x =  12 ¹⁄₃ = 37/3

Step-by-step explanation:

$$\begin{gathered} V_1=4\cdot V_2 \\ s=3\frac{1}{3}=3+\frac{1}{3}=\frac{3\cdot 3+1}{3}=\frac{9+1}{3}=\frac{10}{3}=3\frac{1}{3}\doteq 3.3333 \\ l=2\frac{1}{4}=2+\frac{1}{4}=\frac{2\cdot 4+1}{4}=\frac{8+1}{4}=\frac{9}{4}=2\frac{1}{4}=2.25 \\ x=s+l\cdot 4=\frac{10}{3}+\frac{9}{4}\cdot 4=\frac{37}{3}=12\frac{1}{3}=12.3333 \end{gathered}$$

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