Thinking Skills
A farmer has 200 hens. All but 10 have laid eggs this month. None laid more than two clutches. In total 304 e…
Question 1 · Multiple choice
Question
A farmer has 200 hens. All but 10 have laid eggs this month. None laid more than two clutches. In total 304 eggs were collected. How many hens laid exactly one clutch?
Options
- A. 76
- B. 84
- C. 92
- D. 100
Correct answer
A. 76
Explanation
190 hens laid eggs. Let x = one clutch, y = two clutches. x + y = 190, x + 2y = 304. Subtracting the first from the second gives y = 114. Therefore x = 76. So 76 hens laid exactly one clutch. Answer A.