B3. In the fog, I see a quarter of my herd of camels. The number of camels that have gone to the hillside is twice the square root of the total number of my herd. In addition, three times five camels are resting by the river. How many camels are there in my herd?
B3. An unknown number of camels is denoted by $x$. From the text, we write the equation $\frac{x}{4}+2 \sqrt{x}+3 \cdot 5=x$, which we rearrange to $8 \sqrt{x}=3 x-60$. Squaring both sides of the equation, we get $64 x=9 x^{2}-360 x+3600$ and rearrange it to: $9 x^{2}-424 x+3600=0$. Factoring the left side, we get $(x-36)(9 x-100)=0$, from which we read the meaningful solution $x=36$.

![](https://cdn.mathpix.com/cropped/2024_06_07_8d4f73ada7862f989e67g-14.jpg?height=66&width=1639&top_left_y=2354&top_left_x=274)

Elimination of the fraction and rearrangement of the equation to the form $8 \sqrt{x}=3 x-60 \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots \ldots$ point

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![](https://cdn.mathpix.com/cropped/2024_06_07_8d4f73ada7862f989e67g-14.jpg?height=49&width=1639&top_left_y=2511&top_left_x=274)

Written answer ....................................................................................................