How Many Eggs?
Algebra
Level
3
If 4 frogs lay 4 eggs in 4 days, and 3 ducks lay eggs in 3 days, and 2 hens lay 2 eggs twice in 2 days, how many eggs will 1 frog, 1 duck and 1 hen lay in total from the beginning of February to the end of March in a leap year?
The answer is 95.
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1 solution
If 4 frogs lay 4 eggs in 4 days, then 1 frog would lay 1 egg every 4 days. Using the same logic, we can say that 1 duck would lay 1 egg every 3 days. If 2 hens lay 2 eggs twice in 2 days, then that means 2 hens would lay 4 eggs in 2 days. Using the same logic as before we can say that 1 hen lays 2 eggs every 2 days; therefore, it lays 1 egg per day. In a leap year, February has 29 days and March has 31, which is a total of 60 days. At a rate of 1 egg per day, the hen would lay 60 eggs. At 1 egg every 3 days, the duck would lay 20 eggs. And at 1 egg every 4 days the frog would lay 15 eggs. 60+20+15=95