SOLUTION: to determine the number of deer in a game preserve, a conservationist catches 426 deer, tags them and lets them loose. Later, 700 deer are caught; 175 of them are tagged. How many

Question 556129: to determine the number of deer in a game preserve, a conservationist catches 426 deer, tags them and lets them loose. Later, 700 deer are caught; 175 of them are tagged. How many deer are in the preserve?
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
you tag 426 deer.
later on you catch 700 deer and observe that 175 of them are tagged.
if you assume that the ratio of tagged deer to total deer is constant, then you get an equation that says:
426/x = 175/700
cross multiply to get 175x = (426)(700)
divide both sides of this equation by 175 to get:
x = (426)(700)/(175) which results in:
x = 1704
the estimate of the deer population is 1704 based on this ratio.

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