Ratios and proportions. A ranger wants to estimate the number of antelope in a preserve. He catches 58 antelope, tags their ears, and returns them. Some time later, he catches 29 antelope and discovers that 7 of them are tagged. Estimate the number of antelope in the preserve.
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a/b = c/d
can someone check this please...
I took x/58 = 7/29
29x = 406
x = 14
58 + 14 = 72
roughly 72 antelope in the preserve????
your variable x relates to the estimated total antelope in the preserve. Since he caught and tagged 58 out of x, I think you'll want to switch your left hand equation to 58/x instead of x/58. Then you have
58/x : 7/29
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7 into 1682 = 240.285....
I put 58 on the bottom and 29 on the bottom to match those were caught
I added 14 to 58 because its the difference from those caught and tagged
Yes, but the fact that they are caught is not the association that you want for this ratio.
He originally caught 58 of an undetermined number = ratio1.
He then catches 29, of which 7 are tagged = ratio2.
The reason you want the x paired with the 29 is that the 29 represents a sample set with which you want to estimate the total population.
how do I answer the question of : estimate the number of antelope in the preserve... with that ratio? or solve it?
Okay. So we have our ratio of
-- : --
which can be read as 58 is to 7 as x is to 29.
You calculated the number above, by multiplying the top on one side by the bottom on the other: 58*29 = 1682 and then dividing by 7 = 240.285. So the estimate would be 240 antelope.