Determine the number of deer in a game perserve, a forest ranger catches 36 deer tags them and releases them..

Question

Later 54 deer are caught and it is found that 8 of them are tagged. Estimate how many are their in the game preserve? I need help with this question.

Answer 1

243 deer

If 54 are caught with 8 taged then we can assume that each tagged deer represents 6.75 total deer

54 total deer/8 tagged deer = 6.75 total deer per tagged deer

we have 36 tagged deer

36 tagged deer * 6.75 total deer /tagged deer = 243 total deer

Answer 2

8/54=36/x

okay this is a proportion...

out of 54 deer caught later there were 8 with tags, that means the proportion would equal out of x deer 36 were tagged

the top number is the number of deer captured and tagged the bottom number is the number of deer that there was altogether

8/54=36/x

now cross multiply (numerators to denominators)

8/54=36/x
8*x=54*36
8x=1944

now divide out

8x/8=1944/8

x=243

so there were about 243 deer altogether
now check the answer

8/54=36/243
.148(repeating)=.148(repeating)
so about 14.8 percent


check ya later ♥