Collecting clothes

Larry and Myra are collecting clothes for a clothing drive. Myra collected 2 1/2 times as many clothes as Larry did. If Larry collected 4 4/5 bags of clothes, how many bags of clothes did Myra collect?

Final Answer:

M =  12

Step-by-step explanation:

$$\begin{gathered} L=4\frac{4}{5}=4+\frac{4}{5}=\frac{4\cdot 5+4}{5}=\frac{20+4}{5}=\frac{24}{5}=4\frac{4}{5}=4.8 \\ r=2\frac{1}{2}=2+\frac{1}{2}=\frac{2\cdot 2+1}{2}=\frac{4+1}{2}=\frac{5}{2}=2\frac{1}{2}=2.5 \\ M=r\cdot L=\frac{5}{2}\cdot \frac{24}{5}=\frac{5\cdot 24}{2\cdot 5}=\frac{120}{10}=12 \end{gathered}$$

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