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?

Answer 1

The population will be the same after 3 years

Answer 2

Let X be the number of years
784-25x.....equation A
817-36x.....equation B

Equation A=Equation B
784-25x=817-36x
Move terms
36x-25x=817-784
Solve for x
11x=33
Divide both sides by 11
X=33/11
X=3 years

Hope it helps!