There are a total of 34 lions and hyenas. Each lion eats 4 antelopes a year. Each hyena eats 3 a year. If 117 antelope are eaten in a year, how many lions were there and how many hyenas were there.

There were 15 lions and 19 hyenas.

Step-by-step explanation:

Given: There are total 34 lions and hyenas. Each lion eats 4 antelopes a year. Each hyena eats 3 a year. Also, 117 antelope are eaten in a year.

To find: Number of lions and hyenas

Let number of lions = x, and

number of hyenas = y

According to question,

      ...(1)

    ...(2)

From equation (1), .

Substituting in equation (2),

⇒

⇒

⇒

⇒

Put in equation .

⇒

Hence, there were 15 lions and 19 hyenas.

x=17

step-by-step explanation:

solve 3x-24=x+10

then that makes it 2x=34 because you subtract an x from both sides to get rid of the one on the right, and then you add 24 to both sides to get rid of the 24 on the left

divide by both sides by 2 to get your answer so that you can get your answer