Petra

Petra has 2 2/5 bags of premium cat food. Her cat eats 2/95 of a bag per day.
How many weeks will the food last if the cat eats the same amount every day?

Final Answer:

n =  16 ²⁄₇ = 114/7

Step-by-step explanation:

$$\begin{gathered} m=2\frac{2}{5}=2+\frac{2}{5}=\frac{2\cdot 5+2}{5}=\frac{10+2}{5}=\frac{12}{5}=2\frac{2}{5}=2.4 \\ {m}_1=7\cdot \frac{2}{95}=\frac{7\cdot 2}{95}=\frac{14}{95}\doteq 0.1474 \\ n=m/m_1=\frac{12}{5}/\frac{14}{95}=\frac{12}{5}:\frac{14}{95}=\frac{12}{5}\cdot \frac{95}{14}=\frac{12\cdot 95}{5\cdot 14}=\frac{1140}{70}=\frac{114}{7}=16\frac{2}{7}=16.2857 \end{gathered}$$

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