Nelly’s

Nelly's mother also bought 3 1/3 pounds of strawberries for smoothies. She estimates she will need 1/9 of a pound of strawberries for each smoothie. How many smoothies can she make with the strawberries she bought?

Correct answer:

n =  30

Step-by-step explanation:

$$\begin{gathered} x=3\frac{1}{3}=3+\frac{1}{3}=\frac{3\cdot 3+1}{3}=\frac{9+1}{3}=\frac{10}{3}=3\frac{1}{3}\doteq 3.3333\text{lb} \\ a=\frac{1}{9}\doteq 0.1111\text{lb} \\ {n}_1=x/a=\frac{10}{3}/\frac{1}{9}=\frac{10}{3}:\frac{1}{9}=\frac{10}{3}\cdot \frac{9}{1}=\frac{10\cdot 9}{3\cdot 1}=\frac{90}{3}=30 \\ n=\lfloor n_1\rfloor =\lfloor 30\rfloor =30 \end{gathered}$$

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