MHB How many birds were in the original flock?

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The discussion revolves around determining the number of birds in the original flock using a mathematical equation. The initial equation proposed is (b + 1)/2 + (b + 1) = 100, which is challenged by clarifying that "us" refers only to the original flock, not including the new bird. The correct interpretation leads to the equation b/2 + 1 = 100. This highlights the importance of accurately defining terms in mathematical problems. The conversation emphasizes the skill of forming equations based on contextual information.
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Let b = birds

Met a bird = (b + 1)

Half of us plus you = (b + 1)/2 + (b + 1)

The equation is:

(b + 1)/2 + (b + 1) = 100

Yes?
 
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mathland said:
View attachment 10948

Let b = birds

Met a bird = (b + 1)

Half of us plus you = (b + 1)/2 + (b + 1)

The equation is:

(b + 1)/2 + (b + 1) = 100

Yes?
No! the flock of birds is talking to the one new bird. When it says "us" it means the original flock, not with the new bird. "Half of us" is b/2. "Half of us plus you" is b/2+ 1.

Your equation is b/2+ 1= 100.
 
Country Boy said:
No! the flock of birds is talking to the one new bird. When it says "us" it means the original flock, not with the new bird. "Half of us" is b/2. "Half of us plus you" is b/2+ 1.

Your equation is b/2+ 1= 100.

Another great math skill is the ability to create an equation from the given information in applications.
 
Here is a little puzzle from the book 100 Geometric Games by Pierre Berloquin. The side of a small square is one meter long and the side of a larger square one and a half meters long. One vertex of the large square is at the center of the small square. The side of the large square cuts two sides of the small square into one- third parts and two-thirds parts. What is the area where the squares overlap?

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