A warden captures and tags 60 deer in a forest. A month later he captures 100 deer and finds that 10 of them are tagged. Estimate the actual number of deer in the forest.
To estimate the actual number of deer in the forest, we can use a proportion based on the number of tagged deer in the second capture.
Let x be the total number of deer in the forest. We know that the warden initially tagged 60 deer, and in the second capture of 100 deer, 10 of them are tagged.
Therefore, we can set up a proportion:
60/x = 10/100
Cross multiplying, we get:
10x = 6000
x = 600
Based on this estimate, there are approximately 600 deer in the forest.