Chloe

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

Final Answer:

b =  13 ¹⁄₈ = 105/8

Step-by-step explanation:

$$\begin{gathered} a=3\frac{1}{2}=3+\frac{1}{2}=\frac{3\cdot 2+1}{2}=\frac{6+1}{2}=\frac{7}{2}=3\frac{1}{2}=3.5 \\ r=3\frac{3}{4}=3+\frac{3}{4}=\frac{3\cdot 4+3}{4}=\frac{12+3}{4}=\frac{15}{4}=3\frac{3}{4}=3.75 \\ b=r\cdot a=\frac{15}{4}\cdot \frac{7}{2}=\frac{15\cdot 7}{4\cdot 2}=\frac{105}{8}=13\frac{1}{8}=13.125 \end{gathered}$$

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