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प्रश्न
In a farmyard, there were some goats and some chickens. When their number was counted, it was found that there were 60 heads and 148 legs. How many goats and how many chickens were in the farmyard?
बेरीज
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उत्तर
Let the number of goats be x and the number of chickens be y,
Here,
Each goat has 1 head and 4 legs,
Each chicken has 1 head and 2 legs.
According to the given conditions:
Total heads: x + y = 60 ...(1)
Total legs: 4x + 2y = 148 ...(2)
From equation (1),
y = 60 − x
Substitute y = 60 − x into equation (2):
4x + 2(60 − x) = 148
4x + 120 − 2x = 148
4x + (− 2x) = 148 − 120
2x = 28
x = `28/2`
∴ x = 14
Substitute x = 14 into equation (1):
y = 60 − 14
∴ y = 46
Hence, there are 14 goats and 46 chickens in the farmyard.
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