Juan collected

Juan collected 1 1/2 bins of glass bottles to recycle. Richard collected 4 2/3 times as many bins as Juan. How many bins of bottles did Richard collect?

Correct answer:

R =  7

Step-by-step explanation:

$$\begin{gathered} J=1\frac{1}{2}=1+\frac{1}{2}=\frac{1\cdot 2+1}{2}=\frac{2+1}{2}=\frac{3}{2}=1\frac{1}{2}=1.5 \\ c=4\frac{2}{3}=4+\frac{2}{3}=\frac{4\cdot 3+2}{3}=\frac{12+2}{3}=\frac{14}{3}=4\frac{2}{3}\doteq 4.6667 \\ R=c\cdot J=\frac{14}{3}\cdot \frac{3}{2}=\frac{14\cdot 3}{3\cdot 2}=\frac{42}{6}=7 \end{gathered}$$

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