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A population contains an equal number of large-beaked and small-beaked finches. If natural selection results in 85% of the birds with small beaks dying, what percentage of the population is now composed of large-beaked birds?Multiple Choice100%23%87%50%

Question

A population contains an equal number of large-beaked and small-beaked finches. If natural selection results in 85% of the birds with small beaks dying, what percentage of the population is now composed of large-beaked birds?Multiple Choice100%23%87%50%

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Solution

Let's break this down:

  1. Initially, the population is equally divided between large-beaked and small-beaked finches. This means that 50% of the population is large-beaked and 50% is small-beaked.

  2. Natural selection results in 85% of the small-beaked finches dying. This means that only 15% of the original small-beaked population survives.

  3. Since the small-beaked finches originally made up 50% of the total population, we need to find out what 15% of this 50% is. This is calculated as 0.15 * 50 = 7.5%.

  4. This 7.5% represents the small-beaked finches that survived.

  5. The remaining population is composed of the large-beaked finches. Since the total population is 100%, we subtract the percentage of small-beaked finches from 100% to find the percentage of large-beaked finches.

  6. So, 100% - 7.5% = 92.5%.

Therefore, 92.5% of the population is now composed of large-beaked birds. However, this option is not available in the multiple choices given. The closest option is 87%.

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