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By TomOBrien
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14 April 2008 |
A little fun with mathematics.
Commentary 730 words.
"A teapot and a strainer cost thirty one dollars. If the teapot cost thirty dollars more than the strainer what is the price of each?"
This little brain teaser appeared in an advertisement posted on the wall of a borading area at an airport where I was waiting for a flight connection recently.
I’ve never been keen with math problems and the obvious answer, to me, is one dollar for the strainer and thirty dollars for the teapot. And that, of course, would be the wrong answer. I’ve been told that the correct answer is that the strainer is fifty cents and the teapot is thirty dollars and fifty cents, but I don’t see how it works.
There was an older couple nearby in the waiting area, (he was a retired CPA and she a retired elementary school principal) and another woman passenger (a music student) discussing this math problem, how obvious the answer was and I had to speak up.
"If the strainer is one dollar and the teapot is thirty dollars, which is thirty dollars more than the strainer, then it has to be thirty dollars and one dollar. Right?" I asked.
"No, son." The CPA says to me with a benevolent, slow student expression. The three of them then tried explaining to me how if the teapot cost thirty dollars more than the strainer, the strainer had to be fifty cents. Had to be. They kept emphasizing the word “more.” But I still wasn’t getting it. I had been sitting there with my laptop open reading a recently downloaded copy of NASCAR Racing Scene newspaper when I joined the teapot discussion. With a dismissive wave of her hand the school principal remarked. “Here you are with your computer open and running all this stuff and you can’t figure out this simple math problem? Tsk-tsk-tsk” She admonished.
I don’t know what “all this stuff” referred to, but I decided not to tell her that I was reading a sports newspaper. I just told her that I was better with words than numbers.
They took another go at it with me and again slowly explained how the teapot had to be thirty dollars more than the strainer. More being the operative word here.
Um-nope, still not getting it, sorry. I went back to my laptop while the three of them got into a discussion about how wonderful mathematics was. “Everything is mathematics. Speech, music, art, just everything in life is related to mathematics and isn’t it just all so yada-yada-wonderful? Blah-blah-blah”
No, not to me it isn’t. Let’s just leave it at, I’m better with words.
Tuning them out for the moment I got back to my laptop and the NASCAR Cup “Chase For The Championship” article I had been reading. While their conversation was going on around me I distinctly heard the older gentlemen mention how they were on their way to Las Vegas.
“Yup, gonna go down there to the desert and get some of that Vegas money.” The guy confidently remarked. As if that was his 401 retirement plan. Go to the desert once a quarter and withdraw some of that “Vegas money.”
This statement caught my attention though and I looked up from my computer screen. As I mentioned, we were in the waiting area for a flight connection. I pulled out my boarding pass to confirm that It says my connection to Hartford will board at gate B13. I looked at the sign over the door leading out to the jet-way and it said, “B13. Hartford/Springfield. 1:20 PM.” I looked across the aisle to gate B14 and the sign above the jet-way entrance over there read, “B14. Las Vegas. 1:05 PM.” I noticed too that thow Vegas bound passengers had already begun the boarding process.
At this point I got back into the teapot/math discussion by saying, “I may not be a math major folks but I am in the correct boarding area.” The three of them looked at me and now it was their turn to be perplexed. I jerked my thumb toward the boarding area across the aisle and they all noticed that, that is where the retired couple were supposed to be.
There was a bit of frantic scrambling as they hurriedly gathered up their stuff and scurried across the aisle to join the last few passengers boarding for Las Vegas.
Let’s see now. In the top ten for the ”Chase For The Cup Championship” there are four Chevrolets, three Fords and three Dodges. No teapots or strainers at all. Nothing wrong with my math skills.
PS If any of you wants to try and explain to me how the tea pot and strainer works, maybe over a pitcher of Ten Penny Ale, I would be more than happy to listen.
c-ya
tom
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Written by Phil (6383 comments posted) 14th April 2008 | Actually, I have to agree, at least in part, with he snotty types who you were speaking to: there is a great beauty in number. Interesting piece. BTW: $30 is only $29 more than $1. Phil | Is this right? Written by mia_ms_kim (890 comments posted) 14th April 2008 | Ahhh... Strange how the mind get tricked into thinking it must be $30 and $1. Here is my attempt at explanation. We are told: (t = teapot, s = strainer) t + s = 31 t = s + 30 Therefore: (s + 30) + s = 31 2s = 31 - 30 s = .5 So: t = .5 + 30 = 30.5 so teapot = $30.50, strainer = 50c together = $31, diff = $30 Does that look right??? Mia | HUH! Written by TomOBrien (64 comments posted) 14th April 2008 | I think the formula for nuclear fusion is simpler. How about T=30 and S=1 and 30-1 is 29. So T has to be more than 30 and S less than 1 for the two to add up to 31. yes? Thanks for reading and commenting all. tom o | Written by mia_ms_kim (890 comments posted) 14th April 2008 | Tom. I think it is the case of English being my 2nd language. I find what you wrote above bewildering. I can't understand maths in English. I have to have maths laid out fully in logical formulas before I really get it. And I don't understand nuclear fusion - other than that I don't want to be anywhere near it. Mia |
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