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In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?

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Re: In a certain pond, 50 fish were caught, tagged, and returned [#permalink]
10 Jan 2014, 06:10

Expert's post

1

This post was BOOKMARKED

SOLUTION

In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?

(A) 400 (B) 625 (C) 1,250 (D) 2,500 (E) 10,000

The percent of tagged fish in the second catch is 2/50*100 = 4%.

We are told that 4% approximates the percent of tagged fish in the pond. Since there are 50 tagged fish, then we have 0.04x = 50 --> x = 1,250.

In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?

(A) 400 (B) 625 (C) 1,250 (D) 2,500 (E) 10,000

# of fishes caught in the 2nd catch = 50 and # of fishes which are tagged = 2 so %age = 4% And after the 1st catch, the # of fish which are tagged are = 50 which is 4% of # of fishes in the pond, so total number of fishes = 25*50 = 1250 - Option C) _________________

Re: In a certain pond, 50 fish were caught, tagged, and returned [#permalink]
11 Jan 2014, 06:06

Expert's post

SOLUTION

In a certain pond, 50 fish were caught, tagged, and returned to the pond. A few days later, 50 fish were caught again, of which 2 were found to have been tagged. If the percent of tagged fish in the second catch approximates the percent of tagged fish in the pond, what is the approximate number of fish in the pond?

(A) 400 (B) 625 (C) 1,250 (D) 2,500 (E) 10,000

The percent of tagged fish in the second catch is 2/50*100 = 4%.

We are told that 4% approximates the percent of tagged fish in the pond. Since there are 50 tagged fish, then we have 0.04x = 50 --> x = 1,250.

Originally posted on MIT Sloan School of Management : We are busy putting the final touches on our application. We plan to have it go live by July 15...