The fish

The fish vendor sells 1/7 kilos of bangus for 66.2 euro. If you will buy 9 2/8 kilos of bangus, how much will cost?

Correct result:

x =  4286.45 eur

Solution:

$$\begin{gathered} m_1={\displaystyle \frac{1}{7}}\doteq 0.1429\text{ kg } \\ {m}_2=9{\displaystyle \frac{2}{8}}={\displaystyle \frac{9\cdot 8+2}{8}}={\displaystyle \frac{74}{8}}={\displaystyle \frac{37}{4}}=9\frac{1}{4}=9.25\text{ kg } \\ x=66.2\cdot {\displaystyle \frac{m_2}{m_1}}=66.2\cdot {\displaystyle \frac{9.25}{0.1429}}={\displaystyle \frac{85729}{20}}=4286\frac{9}{20}={\displaystyle \frac{85729}{20}}\text{ eur}=4286.45\text{ eur} \end{gathered}$$

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