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

Answer:

The populations of orangutans will be same after 3 years

Step-by-step explanation:

Let the populations or orangutans is the same after n years

Decrease in population of oragnutans in the first study

$=784-25n$

Decrease in population of oragnutans in the second study

$=817-36n$

According to the question

$784-25n=817-36n$

$\implies 36n-25n=817-784$

$\implies 11n=33$

$\implies 11n=33$

$\implies n=\frac{33}{11}$

$\implies n=3\text{ years}$

Therefore, the populations of orangutans will be equal after 3 years

Hope this is helpful.

Answer 2

Answer:The two populations will be the same after___years. 3