To determine the number of deer in a game preserve, a conservationist catches 443, tags them and then lets them loose. Later, 528 deer are caught and 176 are tagged. How many deer are in the preserve?

Question

To determine the number of deer in a game preserve, a conservationist catches 443, tags them and then lets them loose. Later, 528 deer are caught and 176 are tagged. How many deer are in the preserve?

What formula do I use to find the answer to this?

Thank you for helping if you can.

Answer 1

176 is 1/3 of 528.

We can assume, then, that the total number of deer is 3 times 443 = 1329.

Answer 2

To determine the number of deer in the game preserve, you can use a simple proportion:

Number of tagged deer / Total deer caught = Number of tagged deer initially / Total deer in the preserve

Let's plug in the given values:

Number of tagged deer = 176 (from the question)
Total deer caught = 528 (from the question)
Number of tagged deer initially = 443 (from the question)
Total deer in the preserve = ?

Using the formula, we can solve for the unknown value:

176 / 528 = 443 / X

To find X, we can cross-multiply:

176 * X = 528 * 443

Now, divide both sides of the equation by 176:

X = (528 * 443) / 176

Calculating this expression will give you the number of deer in the game preserve.