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A pigeon weighs $150\,\text{grams}$ plus half a pigeon

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Full solution

Q. A pigeon weighs

150\,\text{grams}

plus half a pigeon

Denote $P$ as Weight: Let's denote the weight of one pigeon as $P$ . According to the problem, a pigeon weighs $150$ grams plus half of its own weight. We can write this as an equation: $P = 150 + \frac{1}{2} \times P$ .
Isolate P in Equation: To solve for P, we need to isolate P on one side of the equation. We can do this by subtracting $\frac{1}{2} \times P$ from both sides of the equation to get $P - \frac{1}{2} \times P = 150$ .
Combine Like Terms: Combining like terms on the left side gives us $1 \times P - \frac{1}{2} \times P = \frac{1}{2} \times P$ . So now we have $\frac{1}{2} \times P = 150$ .
Multiply by $2$ : To find the value of $P$ , we multiply both sides of the equation by $2$ to cancel out the $\frac{1}{2}$ on the left side. This gives us $2 \times (\frac{1}{2} \times P) = 2 \times 150$ .
Final Weight Calculation: Simplifying both sides of the equation, we get $P = 300$ . This means that the weight of one pigeon is $300$ grams.

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