A pigeon runs into a flock of pigeons and asks their leader what is your number in this flock? The leader replays: I am not suppose to tell you our exact number, but if you take twice our number and add a half of our number and still add another quarter of our number plus yourself would be 100. How many pigeons were in that flock? Write an equation and solve it..
Can someone please help me? Thanks
2x + 0.5x + 0.25x + 1 = 100
2.75x + 1 = 100
2.75x = 99
x = ?
hmm is it 36?
Of course, I can help you solve this problem. Let's break it down step by step.
Let's start by assigning a variable to the number of pigeons in the flock. Let's call it "x".
According to the leader's statement, if you take twice the number of pigeons in the flock (2x) and add half of that number (0.5x), and then add another quarter of that number (0.25x), plus yourself (1), the total sum would be 100.
So, we can set up the equation as follows:
2x + 0.5x + 0.25x + 1 = 100
Now, let's simplify the equation and solve for x.
Combining like terms:
2.75x + 1 = 100
Subtracting 1 from both sides to isolate the x term:
2.75x = 99
Dividing both sides by 2.75 to solve for x:
x = 99 / 2.75
Using a calculator, we find that x ≈ 36.
Therefore, there were approximately 36 pigeons in the flock.
I hope this helps! Let me know if you need any further assistance.