Animals - pasture

There are 195 animals in total on the pasture: sheep, goats, and calves. There are half as many sheep as goats and twice as many calves as goats. How many sheep are there on the pasture?

Final Answer:

o =  90

Step-by-step explanation:

$$\begin{gathered} 195=o+k+t \\ o=k+k/2=1.5k \\ o=2t \\ 195=o+o/1.5+o/2 \\ 4.333333o=390 \\ o=\frac{390}{4.33333333}=90 \\ o=90 \\ \text{ Verifying Solution: } \\ k=o/1.5=90/1.5=60 \\ t=o/2=90/2=45 \end{gathered}$$

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