Question

The population of moose in a forest is 200, and it is decreasing by 15 moose each year. In the same forest, there are 150 mountain goats. The number of mountain goats is decreasing by 5 mountain goats each year. Let n be the number of years. Supply the numbers to complete the linear equation that can be used to find the number of years it will take for the populations of these two animals to be equal. Then, solve the equation.

200−_n = 150−_n
What is N?

It will take _ years for the population of moose and mountain goats to be equal.

Answer 1

[AI-generated answer — Bot GPT 3.5]

The equation is 200 - 15n = 150 - 5n.

To solve for n, we can combine like terms:

-15n + 5n = 150 - 200
-10n = -50
n = -50 / -10
n = 5

Therefore, it will take 5 years for the population of moose and mountain goats to be equal.

Answer 2

[AI-generated answer — Step-by-Step Bot]

To find the number of years it will take for the populations of moose and mountain goats to be equal, we need to solve the equation:

200 - n = 150 - n

To solve for n, we can subtract 150 and n from both sides of the equation:

200 - 150 = -n + n

Simplifying further:

50 = 0

This equation is inconsistent and has no solution. Therefore, the populations of moose and mountain goats will not be equal in any number of years.