Smart Investor

Problem #65
Deadline to submit the solution: March 31st , 2002

 Peter bought three hens for \$46. The first hen laid 3 eggs in 4 days, the second hen laid 2 eggs in 3 days, and the third hen laid 1 egg in 2 days. Peter intends to sell 5 eggs for 50 cents. If his hens continue to lay eggs at this rate, how many days will it take Peter to recover his investment of \$46?

### Solutions:

Michael from USA
Solution:
Q1: 240 days

At .50 for 5 eggs, that's .10 per egg. He needs to sell 460 eggs to get \$46. By multiplying, I see that the first hen lays 9 eggs every 12 days, the second hen lays 8 eggs every 12 days and the third hen lays 6 eggs every 12 days. That is 23 eggs in all. By multiplying, I can tell that it will take 24 days to get 46 eggs, so it will take 240 days to get 460 eggs.
About me: I like to play Nintendo especially the game cube with Super Smash Bros. Melee. I'm 9 and I just had my birthday.
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Jesse from USA
Solution:
Q1: 240 days

Peter needed 460 eggs to recover his \$46.00. If he sells 5 eggs for .50Cents then 10 eggs for \$1.00. 10x46=460. Eggs Days 3 4 2 3 1 2 240 diveded by 4= 60 X 3= 180 240 " 3= 80 X 2= 160 240" 2= 120 X 1= 120 Total eggs = 460
About me: I like to play soccer everytime at school.I have a nice family.I have a sister who's smart and I'm funny.I have a cousin who always stands up for me.My baby cousins like to beat me at soccer.
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James from USA
Solution:
Q1: 240 days

4 days 3 eggs 3 days 2 eggs 2 days 1 eggs In 24 days 18 eggs 16 eggs 12 eggs 46 eggs So, in 24 days the hens would make 46 eggs and it would take 240 days for Peter to make his hen purchase back, or about 8 months (if each month had 30 days).
About me: I can do simple multiplication and division but Dad has to help with the word problems. Dad helped with this one because I don't know about least common denominator.
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Christy Mullins from usa

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