This problem is harder then it looks.
A bat and ball cost $1.10.
The bat costs one dollar more than the ball.
How much does the ball cost?
Sweat-n-Grease (February 8th, 2013)
Ball is $0.05.Originally Posted by Kennebec Captain
2x + 1.00 = 1.10
fullbell (February 8th, 2013)
Wait a sec.... I'll go to a math forum and ASK someone else to tell me the answer.
The bat and ball are included in the price of the video game aren't they?
Geeze...what a way to start the day. I got it right at first glance. Then on my 2nd cup, I questioned my call. I harkened back to my 9th grade algebra and confirmed my original call. During my morning constitutional, it bothered the crap out of me. So I googled it...Why do I have to over-complicate simple things?
let's Pentagonize this question class...
A nano-molecular carbon fiber fully automatic inertial gyro controlled multimission joint services bat and nuclear powered stealth radar invisible drone ball cost $100000001.10.
How much money must Congress authorize in a special spending bill in order for Lockheed Martin to do R&D and for special manufacturing facilities so to outfit the entire Armed Forces with 10000 bats and 250000 balls given anticipated cost overruns of 250%?
bonus question, how much profit margin is too high for Lockheed Martin to make on this contract? (answer to this question is of course, there is NO profit margin that is TOO HIGH!)
Last edited by c.captain; February 8th, 2013 at 01:08 PM.
Fat Tony award goes to c.captain.
Kennebec Captain (February 8th, 2013)
5 cents is the correct answer.
10 cents is wrong because if the bat is a dollar more,( .10+1.00=1.10) the bat would be $1.10 making the total price $1.20. (1.10+.10=1.20)
This problem is interesting because the "obvious" answer, 10 cents is wrong and it illustrates a quirk in they way we think.
I first encountered (and got wrong) this problem in the book Thinking Fast and Slow.
According to the book people have a strong bias for plausible narratives and prefer them to more probably scenarios. From chapter 9:
Another book that I enjoyed a lot more was: "On Being Wrong"A remarkable aspect of your mental life is that you are rarely stumped......The normal state of your mind is that you have intuitive feelings and opinions about almost everything that comes your way.
The author Kathryn Schultz gives an 18 minute TED talk here
If you're wondering what this has to do with maritime affairs it's about decision making. Something some mariners might be interested in.