Latanya

Latanya plans to repaint some classroom bookcases. She has 5 3/5 gallons of paint. All bookcases are the same size, and each requires 1/2 gallon of paint. What is the maximum number of complete bookcases she can paint?

Correct answer:

n =  11

Step-by-step explanation:

$$\begin{gathered} a=5\frac{3}{5}=5+\frac{3}{5}=\frac{5\cdot 5+3}{5}=\frac{25+3}{5}=\frac{28}{5}=5\frac{3}{5}=5.6\text{gal} \\ b=1/2=\frac{1}{2}=0.5\text{gal} \\ {n}_1=a/b=\frac{28}{5}/\frac{1}{2}=\frac{28}{5}:\frac{1}{2}=\frac{28}{5}\cdot \frac{2}{1}=\frac{28\cdot 2}{5\cdot 1}=\frac{56}{5}=11.2 \\ n=\lfloor n_1\rfloor =\lfloor 11.2\rfloor =11 \end{gathered}$$

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