In a group of ducks and cows, the total number of legs are 28 more than twice the number of heads. Find the total number of cows.
14
12
16
8
Explanation:
Let the number of ducks be d
and number of cows be cThen, total number of legs = 2d + 4c = 2$\left(d + 2c\right)$
total number of heads = c + d
Given that total number of legs are 28 more than twice the number of heads
=> 2(d + 2c) = 28 + 2(c + d)
=> d + 2c = 14 + c + d
=> 2c = 14 + c
=> c = 14
i.e., total number of cows = 14