Question
Download Solution PDFIn a group of cows and hens, the number of legs are 14 more than twice the number of heads. The number of cows is
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFHas been given:
Total number of legs = 14 more than twice the number of heads.
Calculation:
Let the number of cows be c and the number of chickens be h.
Each cow has 4 legs and each chicken has 2 legs.
Total number of heads (cows and hens) = c + h
Total number of legs = 4c + 2h
According to the question, total number of legs = 14 more than twice the number of heads.
⇒ 4c + 2h = 2(c + h) + 14
⇒ 4c + 2h = 2c + 2h + 14
⇒ 4c + 2h - 2c - 2h = 14
⇒ 2c = 14
⇒ c = 7
The number of cows in the group is 7.
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