Two individuals, A and B, have rented a field. A places 21 horses in the field…
2025
Two individuals, A and B, have rented a field. A places 21 horses in the field for 6 months and 15 cows for 2
months. B adds 15 cows for 6 months and 40 sheep for 7.5 months. If 3 horses consume the same amount of food
as 5 cows, and 6 cows eat as much as 10 sheep, what portion of the rent should A cover?
- A.
6/17
- B.
8/17
- C.
9/17
- D.
10/17
Attempted by 5 students.
Show answer & explanation
Correct answer: B
Use sheep-equivalent units. Since 3 horses = 5 cows and 6 cows = 10 sheep, 1 horse = 25/9 sheep.
A's usage = 21 x 25/9 x 6 + 15 x 5/3 x 2 = 350 + 50 = 400.
B's usage = 15 x 5/3 x 6 + 40 x 7.5 = 150 + 300 = 450.
A's share = 400/(400 + 450) = 8/17.