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12 January, 21:54

A flock of birds was flying around a tree. When they landed, three birds to a branch, no branches were left and one bird had to keep flying around the tree. Then, all the birds took off, flew around the tree again and landed to sit, four to a branch. Now, no birds were left flying but one branch had no birds sitting on it. How many branches were on the tree and how many birds were in the flock?

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  1. 12 January, 22:04
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    Answer: 5 branches and 16 birds.

    Step-by-step explanation:

    If the number of birds is B, and the number of branches is N.

    First we have the equation:

    B = 3*N + 1

    (3 birds per branch + 1 that was flying around)

    for the second equation we have:

    B = 4 * (N - 1)

    (4 birds per branch, but one branch had no birds on it, so there are N - 1 branches used)

    now we can write:

    3*N + 1 = 4 * (N - 1)

    3*N + 1 = 4*N - 4

    4 + 1 = 4*N - 3*N

    5 = N

    So we had 5 branches, now we can replace it in one of the equations and find the number of birds.

    B = 3*N + 1 = 3*5 + 1 = 16
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