Solve the problem.
-To determine the number of fish in a lake, a park ranger catches 280 fish, tags them, and returns them to the lake. Later, 144 fish are caught, and it is found that 36 of them are tagged. Estimate the number of fish in the lake.
A) 70
B) 1120
C) $1,451,520$
D) 19

Question

Quizplus · Accepted Answer

The number of fish in the lake can be estimated using the ratio of tagged to untagged fish in the second catch. If 36 out of 144 fish are tagged, and these 36 represent the 280 fish tagged initially, the ratio of total fish to tagged fish should be the same. Thus, $280 : 36 = x : 144$, solving for $x$ gives $x = 280 \times \frac{144}{36} = 1120$, estimating the total number of fish in the lake to be 1120.

Solve the Problem 1,451,5201,451,5201,451,520 D) 19

Solve the Problem $1,451,520$ D) 19