Researchers count 30 tagged zebras and 150 total zebras in an area of a game reserve. If researchers had previously tagged 80 total zebras at the game reserve, about how many total zebras live at the game reserve?Write a proportion to estimate the total population.

I think the answer is 400 zebras

4 answers

30/150 = 80/x

30x = 12,000

x = 400

You're right.
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Researchers count 30 tagged zebras and 150 total zebras in an area of a game reserve. If researchers had previously tagged 80 total zebras at the game reserve, about how many total zebras live at the game reserve? Write a proportion to estimate the total population.
The proportion to estimate the total population of zebras in the game reserve is:

tagged zebras/total zebras = previously tagged zebras/total population of zebras

Substituting the given values, we get:

30/150 = 80/x

where x is the total population of zebras.

To solve for x, we can cross-multiply and simplify:

30x = 80 * 150

30x = 12000

x = 400

Therefore, an estimate of the total population of zebras in the game reserve is 400.
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