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.

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step-by-step explanation: