A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once…
2023
A fires 5 shots to B's 3 but A kills only once in 3 shots while B kills once in 2 shots. When B has missed 27 times, A has killed:
Answer: A. 30 birds — Key idea: Express everything in terms of the total number of shots, then use the given miss count to find that total. Let the total number of shots be x.…
- A.
30 birds
- B.
40 birds
- C.
35 birds
- D.
45 birds
Attempted by 44 students.
Show answer & explanation
Correct answer: A
Key idea: Express everything in terms of the total number of shots, then use the given miss count to find that total.
Let the total number of shots be x.
Shots fired by the first shooter (the one who fires 5 to 3) = 5/8 x; shots fired by the second shooter = 3/8 x.
Kills by the first shooter = (1/3) of 5/8 x = 5/24 x.
Misses by the second shooter = (1/2) of 3/8 x = 3/16 x.
Set the misses by the second shooter equal to the given value: 3/16 x = 27 ⇒ x = 27 * (16/3) = 144.
Now compute kills by the first shooter: (5/24) * 144 = 5 * 6 = 30.
Conclusion: The first shooter has killed 30 birds.