Hamsters 83018

Jožko keeps dogs, guinea pigs, hamsters, and hares. A total of 24 animals. Of these, 1/3 are hamsters, 3/8 are guinea pigs, and 3/4 are not hares. How many dogs does Jožko have?

Correct answer:

p =  1

Step-by-step explanation:

$$\begin{gathered} n=24 \\ s=\frac{1}{3}\cdot n=\frac{1}{3}\cdot 24=\frac{1\cdot 24}{3}=\frac{24}{3}=8 \\ m=\frac{3}{8}\cdot n=\frac{3}{8}\cdot 24=\frac{3\cdot 24}{8}=\frac{72}{8}=9 \\ z=\frac{1}{4}\cdot n=\frac{1}{4}\cdot 24=\frac{1\cdot 24}{4}=\frac{24}{4}=6 \\ p=n-s-m-z=24-8-9-6=1 \end{gathered}$$

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