SOLUTION: To determine the number of trout in a lake, a conservationist catches 193 trout, tags them and throws them back into the lake. Later, 24 trout are caught, 12 of them are tagged.

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Question 168442: To determine the number of trout in a lake, a conservationist catches 193 trout, tags them and throws them back into the lake. Later, 24 trout are caught, 12 of them are tagged. How many trout are in the lake? The ratio of the weight of an object on Mars to the weight of an object on Earth is 0.4 to 1.a) How much will a 13 ton rocket weigh on Mars?b) How much will a 105lb astronaut weigh on Mars?
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
All of these problems are similar (ie they use the same methods to find the answer). So I'll do the first one to get you started.

# 1

"a conservationist catches 193 trout, tags them and throws them back into the lake. Later, 24 trout are caught, 12 of them are tagged. How many trout are in the lake?"

It turns out that we have the following ratio: 



 Number of Trout     Number of Trout
----------------- = -----------------
 Number Tagged         Number Tagged



Now simply fill in the information to get

x%2F193=24%2F12


x=%2824%2F12%29%2A193 Multiply both sides by 193


x=4632%2F12 Multiply


x=386 Simplify


So our answer is x=386 which means that there are 386 trout in the lake.