Answer:
Total number of Hyenas is 19
Step-by-step explanation:
Given
Total number of Lion + Hyenas= 34
Let Number of Hyenas be x
Number of Lions = 34 -x
Now According to question
Each lion eats 4 antelope + Each Hyena eats 3 antelope = 117
[tex]4(34-x)+3x=117\\136-4x+3x=117\\136-x=117\\136-117=x\\\therefore x = 19[/tex]
Hyenas = 19
Lions = 34-19 = 15