Question : There are deer and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200. How many peacocks are there?
Option 1: 50
Option 2: 30
Option 3: 60
Option 4: 20
Correct Answer: 60
Solution : Given: There are deer and peacocks in a zoo. By counting heads they are 80. The number of their legs is 200.
Here,
Let x be the number of deer.
Peacock count = y
Given x + y = 80
Peacocks have two legs, but deers have four.
So 4x + 2y = 200
2x + y = 100
when we solve equations, we receive
x = 20 and y = 60
60 peacocks total.
Hence, third option is correct.
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