On a farm, there are 48 ducks, 42 goats, and 10 cows with some attendants. If the total number of feet is 216 more than the number of heads, what is the number of attendants on the farm?
Show answer & explanation
Correct answer: D
Explanation
The correct answer is Option 4 i.e 12.
No of ducks on the farm = 48
No of goats on the farm = 42
No of cows on the farm = 10
Let the number of attendants on the farm be x.
According to the question;
The total number of feet is 216 more than the number of heads.
So, no of legs of ducks = 48 × 2 = 96
So, no of legs of goats = 42 × 4 = 168
So, no of legs of cows = 10 × 4 = 40
So, no of legs of attendants = x × 2 = 2x
So, no of heads of ducks = 48
So, no of heads of goats = 42
So, no of heads of cows = 10
So, no of heads of attendants = 1
(96 + 168 + 40 + 2x) = 216 + (48 + 42 + 10 + x)
= 304 + 2x = 316 + x
= x = 12
So, the number of attendants is 12.