[CAUT] Algebra follow up

[Susan Kline]

 Thank you for showing your work. I nibbled around the edges, tried a
few sample figures to see how they worked, didn't quite get there, went
off and did something else, but still wondered how it should be solved
properly.

(Lazy) Susan

On 9/22/2010 1:08 PM, G Cousins wrote:
> Correct oh (mathematically) wise one....ding ding ding ding.
>
> Full proofing for those who care:
>
> The check was for $31.63.
> The teller then gave him $63.31
> He spent .05, and then has $63.26, which is twice the check.
>
> Let x be the dollars of the check, and y be the cents.
> The check was for 100x + y cents
> He was given 100y + x cents
> and we are told that
>
> 100y + x - 5 = 2(100x + y)
> Expanding this out and rearranging,:
> 98y = 199x + 5
>
> or 199x ≡ -5 (mod 98)
> or 98*2*x + 3x ≡ -5 (mod 98)
> 3x ≡ -5 ≡ 93 (mod 98)
> this leads to x = 31
> The next positive value of x which satisfies this mod equation is x =
> 129, which would mean y = 262. But this is prohibited, since y<100.
>
>
> BTW
> Been way too long since my 8th grade memories were dusted off. Sister
> Marie Regina would be pleased. Now if I canget this #&$*@^ L to work
> with me.
> Maybe a Single Malt WOULD help ={D . . . . . . .
> GerryC
>
> ------------------------------------------------------------------------
> To: caut at ptg.org
> From: pwilliams4 at unlnotes.unl.edu
> Date: Wed, 22 Sep 2010 14:25:57 -0500
> Subject: Re: [CAUT] Algebra follow up
>
> $31.63 is what I got. I dont know why my brain was all a-kimbo on
> Monday. Lack of malted beverages, me thinks!
>
> Paul
>
> NOW: a piano thing! fancy that?! Did anyone get my pic of the glue
> that WNG sent me? Is this the same stuff y'all have been using and is
> said by you to be heatable and hammer-movable? My tests prove
> otherwise. NO MOVING ALLOWED. Perhaps the moon and stars weren't
> aligned properly at that exact minute...
>
> Paul
>
>
>
> From: 	G Cousins <cousins_gerry at msn.com>
> To: 	CAUT <caut at ptg.org>
> Date: 	09/21/2010 06:16 AM
> Subject: 	[CAUT] Algebra follow up
>
>
> ------------------------------------------------------------------------
>
>
>
> Paul,
> Hope you got the answer(s) before the School Bus arrived. =)
>
>
> Here's a follow up question:
>
> Birch walks into a Vermont bank to cash a check from one of his tunings.
> By mistake the teller gives him his dollar amount in change, and his
> change amount in dollars.
> On the way home he spends a nickel, yup that's right a nickel, and now
> notices he has 2 times the amount of his check.
> How much was the check?
>

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