There is a group of cows and chickens. If the number of legs was 14 mo

1.	There is a group of cows and chickens. If the number of legs was 14 more than twice the number of heads, then the number of cows is ………………A) 5B) 8 C) 7 D) 4
Answer» Correct option is (C) 7 Let there are x number of cows and y number of chickens. Since, one cow has 4 legs and 1 head. Similarly, one chicken has 2 legs and 1 head. \(\therefore\) Total number of legs of x cows and y chickens = 4x+2y According to given condition, we have 4x + 2y = 2 (x+y) + 14 \(\Rightarrow\) 4x + 2y = 2x + 2y + 14 \(\Rightarrow\) 4x - 2x + 2y - 2y = 14 \(\Rightarrow\) 2x = 14 \(\Rightarrow\) x = \(\frac{14}2\) = 7 Hence, the number of cows is 7. Correct option is C) 7

There is a group of cows and chickens. If the number of legs was 14 more than twice the number of heads, then the number of cows is ………………A) 5B) 8 C) 7 D) 4

Answer»

Correct option is (C) 7

Let there are x number of cows and y number of chickens.

Since, one cow has 4 legs and 1 head.

Similarly, one chicken has 2 legs and 1 head.

\(\therefore\) Total number of legs of x cows and y chickens = 4x+2y

According to given condition, we have

4x + 2y = 2 (x+y) + 14

\(\Rightarrow\) 4x + 2y = 2x + 2y + 14

\(\Rightarrow\) 4x - 2x + 2y - 2y = 14

\(\Rightarrow\) 2x = 14

\(\Rightarrow\) x = \(\frac{14}2\) = 7

Hence, the number of cows is 7.

Correct option is C) 7