Question : Directions: 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?
Option 1: 10
Option 2: 14
Option 3: 8
Option 4: 12
Correct Answer: 12
Solution :
Given:
Number of Ducks = 48, Goats = 42 goats, Cows = 10 cows
Let the number of attendants be a.
Total number of feet of 48 ducks = 48 × 2 = 96
Total number of feet of 42 goats = 42 × 4 = 168
Total number of feet of 10 cows = 10 × 4 = 40
Total number of feet of a attendants = 2 × a = 2a
Each one has one head.
Total Heads = 48 + 42 + 10 + a = 100 + a
Total feet = 96 + 168 + 40 + 2a = 304 + 2a
Now according to the given question,
Total number of feet = Total number of heads + 216
(304 + 2a) = (100 + a) + 216
304 + 2a = 100 + a + 216
304 + 2a = 316 + a
2a – a = 316 – 304
a = 12
So, the total number of attendants on the farm is 12. Hence, the fourth option is correct.
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