The Thoughtful Analysis
Rocky, ever the analytical thinker, pondered the question. To crack the puzzle, he decided to represent the number of birds in each part algebraically. Let ‘x’ be the number of birds in the first part. Following Sam’s clues, the second part would have 1.5x birds, and the last part would have 2 * 1.5x, which simplifies to 3x birds.
Mathematically, Rocky expressed the total number of birds as the sum of these three parts plus the extra bird:
x + 1.5x + 3x + 1 = 100
Combining like terms:
5.5x + 1 = 100
Subtracting 1 from both sides:
5.5x = 99
Dividing by 5.5:
x = 18
The Revelation:
With a triumphant smile, Rocky exclaimed, “Sam, the answer is clear! The first part has 18 birds, the second part has 1.5 times that, which is 27 birds, and the last part has double that, making it 54 birds. When we add one more bird, the total count becomes 100.”
Puzzle – “Rocky and Sam’s Avian Puzzle: A Feathery Conundrum”
In a little town called Puzzleville, where puzzles and brain teasers made every day exciting, two friends, Rocky and Sam, got caught up in a tricky puzzle about flying birds. Sam, being curious, asked Rocky a question that led them on an adventure to solve the mystery of the birds in the sky.