Thinking Skills
A farmer has 200 hens. All but 10 laid at least one egg this month. Some hens laid one egg, some laid two egg…
Question 1 · Multiple choice
Question
A farmer has 200 hens. All but 10 laid at least one egg this month. Some hens laid one egg, some laid two eggs, and no hen laid more than two eggs. In total 304 eggs were collected. How many hens laid exactly one egg?
Options
- A. 76
- B. 84
- C. 92
- D. 100
Correct answer
A. 76
Explanation
All but 10 of the 200 hens laid at least one egg, so 190 hens laid eggs. Let x be the number of hens that laid exactly one egg and y be the number of hens that laid exactly two eggs. Then x + y = 190 and x + 2y = 304. Subtract the first equation from the second to get y = 114. So x = 190 - 114 = 76. Therefore 76 hens laid exactly one egg.