# Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. After how many years will the two populations be the same?

2 answers

###### Question:

Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. After how many years will the two populations be the same?

## Answers

Let X be the number of years784-25x.....equation A817-36x.....equation BEquation A=Equation B784-25x=817-36xMove terms36x-25x=817-784Solve for x11x=33Divide both sides by 11X=33/11X=3 yearsHope it helps!

The population will be the same after 3 years

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