Determine the number of deer in a game preserve. You catch 587 deer, tag them and let them go. Later you catch 482 deer and 241 of them are your tags. How many deer in the preserve?
There's not enough information to answer the question absolutely. But we can use probability to get a guess. The second time you caught 482 deer and 241 of them were tagged. What percent were tagged? You can assume the number you originally tagged is that percent of the total deer population.
They did not give us the population of the deer preserve or the acreage? Do you have to find a constant
The acreage doesn't matter. They're asking you to find the population, so they're not going to give it to you. Follow the procedure I outlined above. If you don't understand something I wrote, ask.
so 241/482 is .5
Right, so half of the deer caught the second time were already tagged. So, you can assume half of all the deer in the preserve were tagged. That means you caught half of all the deer the first time.
We can use the Ratio Method to solve this.
so would you say that 2(587) is the total population of the deer reserve which is 1174
Yes. saifoo will give you a simple equation, but it's also helpful to understand what's going on.
yep i need understanding
so 587/x=241/482, which is 1174
Total : Caught x : 482 587 : 241
Now Cross multiply.
thanks for the help
Yes, exactly. The equation is easy to solve, but setting it up from the story problem is the hard part.
thanks again
No problem..
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