Brain Teasers
We Love Pennies
Fun: (2.29)
Difficulty: (0.79)
Puzzle ID: #15655
Submitted By: deskjet2187 Corrected By: merrimackxc2010
Submitted By: deskjet2187 Corrected By: merrimackxc2010
If you could have a penny a day for 30 days, doubled every day, or $10,000 right now, which would give you more money?
Answer
The pennies, because at the end of one month, you would already have a little over $1,000,000.Hide Answer Show Answer
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Comments
Maybe I'm just not understanding the way you worded your teaser, but the way I see it, on average there are 30 days in a month. So if you have one penny a day, that would be $.30. Double that and you've got $.60. Please explain...
Allow me:
Day 1: 1 penny
Day 2: 2 pennies
Day 3: 4 pennies, etc
Day 1: 1 penny
Day 2: 2 pennies
Day 3: 4 pennies, etc
good math teaser
The time frame is not clear but after a year or so you would have more money than exists in the entire world.
Ooooh, now I see. Thanx for the help. Great teaser.
haha awesome teaser...the only reason i knew the answer is because i saw it once told on Walker Texas Ranger!
I would like to thank all of you for taking the time to read my teaser.
dont thank us have us thank you for making such a great teaser!
Jan 15, 2004
By my calculations, after 30 days you would have TEN+ million dollars, rather than one. Perhaps I, too, misunderstand. 1st day: 1 penny; 2nd day: 1*2=2 plus the one from the day before = 3 pennies total; 3rd day: 2*2=4 plus the 3 from the day before =7 pennies total; 4th day, 15 pennies total;... 30th day: 1073741823 pennies total! Large piggy bank!
I wouldn't call this a logic problem so much as a math problem. The solution is: 2^(n-1), n being the number of days in the month.
Of course, this only works for a month with 31 days; after 30 days, there's ONLY just over 500,000! But I could live with that for 5 months a year, meaning somewhat over 11,000,000 p.a.
Uh Jimbo, you'd exceed the amount of money in the world after two months.
In three months your pile of pennies would weight about as much as Earth.
In four months it would weigh as much as the Sun.
In five months it would have collapsed into a black hole.
After a year you'd have more pennies than the number of quarks in the universe.
In three months your pile of pennies would weight about as much as Earth.
In four months it would weigh as much as the Sun.
In five months it would have collapsed into a black hole.
After a year you'd have more pennies than the number of quarks in the universe.
Jan 18, 2013
2^29 - 5.37 million dollars roughly . . . no?
I concur with (user deleted). After n days you have (2^n) - 1 pennies.
2^30 = (2^10)^3 = 1024^3
1000^3 makes 1 billion pennies or $10m
After 30 days the exact total is $10,737,418.23.
2^30 = (2^10)^3 = 1024^3
1000^3 makes 1 billion pennies or $10m
After 30 days the exact total is $10,737,418.23.
This one might be clever if it weren't so old.
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