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wariber [46]
3 years ago
7

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.
Mathematics
1 answer:
Pani-rosa [81]3 years ago
4 0

Answer:

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,

x+y=34       ...(1)

4x+3y=117     ...(2)

From equation (1), y=34-x.

Substituting y=34-x in equation (2),

4x+3(34-x)=117

⇒4x+102-3x=117

⇒x+102=117

⇒x=117-102

⇒x=15

Put x=15 in equation y=34-x.

y=34-15

⇒y=19

Hence, there were 15 lions and 19 hyenas.

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