Franco, Elliot

Franco and Elliot are on their school's swim team. Last week, Franco swam 5 7/10 miles. Elliot swam 1 1/3 times as far as Franco. How far did Elliot swim?

Correct answer:

E =  7 ³⁄₅ = 38/5 mi

Step-by-step explanation:

$$\begin{gathered} F=5\frac{7}{10}=5+\frac{7}{10}=\frac{5\cdot 10+7}{10}=\frac{50+7}{10}=\frac{57}{10}=5.7\text{mi} \\ k=1\frac{1}{3}=1+\frac{1}{3}=\frac{1\cdot 3+1}{3}=\frac{3+1}{3}=\frac{4}{3}\doteq 1.3333 \\ E=k\cdot F=\frac{4}{3}\cdot \frac{57}{10}=\frac{4\cdot 57}{3\cdot 10}=\frac{228}{30}=\frac{38}{5}\text{mi}=7\frac{3}{5}\text{mi}=7.6\text{mi} \end{gathered}$$

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