There are two trees in a garden (Tree A and Tree B), each with some birds.

The birds in Tree A say to the birds in Tree B, "If one of you comes to our tree, then our population will be double that of yours."

The birds in Tree B counter, "If one of you comes here, then our population will be equal to that of yours."

How many birds are in each tree before any birds move?

P.S. Please show your work.

"If one of you comes to our tree, then our population will be double that of yours."
So [tex]A+1 =2\times (B-1)
A+1 = 2B - 2[/tex]
"If one of you comes here, then our population will be equal to that of yours." A − 1 = B + 1
Rearranging these to make A the subject gives:
A = 2 B − 3 A = B + 2
Then solve for B:
2 B − 3 = B + 2 B = 5
Substitute B back in to an equation:
A = B + 2 A = 5 + 2 A = 7
So there are seven birds in A, and 5 birds in B

Answered by ollieboyne | 2024-06-10

Tree A has 7 birds and Tree B has 5 birds. This was determined using two mathematical statements based on the behavior of the birds. By setting up and solving the equations, we found the population counts for each tree.
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Answered by ollieboyne | 2024-10-10