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A colony of 2750 bats lives in cave a. 850 of the bats move to cave b. after three years, the population of each cave has changed. the population of bats that remained in cave a has increased by 26%, and the population of bats in cave b has increased by 24%. work out how many more bats there are in cave b than in cave a.

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Final answer:

After calculating the population increases in cave A and cave B, cave A was found to have 1340 more bats than cave B after three years.

Step-by-step explanation:

To find out how many more bats there are in cave B than in cave A after population changes, we need to perform a series of calculations:

  1. Subtract the number of bats that moved to cave B from the original colony in cave A: 2750 - 850 = 1900 bats remain in cave A.
  2. Calculate the population increase in cave A: 1900 + (26% of 1900) = 1900 + 494 = 2394 bats in cave A after 3 years.
  3. Calculate the new number of bats in cave B: 850 + (24% of 850) = 850 + 204 = 1054 bats in cave B after 3 years.
  4. Find the difference in population between cave B and cave A: 1054 - 2394 = -1340

Therefore, cave A has 1340 more bats than cave B after three years.

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