# algabra problem!

**URL:** <https://boards.straightdope.com/t/algabra-problem/36712>\
**Category:** Factual Questions\
**Created:** [October 12, 2000, 7:54pm UTC](https://boards.straightdope.com/t/algabra-problem/36712 "2000-10-12T19:54:59Z")\
**Posts on this page:** 11\
**Page:** 1

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**Author:** ![zwaldd](https://avatars.discourse-cdn.com/v4/letter/z/a9adbd/32.png) [@zwaldd](https://boards.straightdope.com/u/zwaldd)\
**Post date:** [October 12, 2000, 7:54pm UTC](https://boards.straightdope.com/t/algabra-problem/36712/1 "2000-10-12T19:54:59Z")

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either i’ve lost one too many brain cells or this is more complicated than it sounds:

i have a mutual fund that, at this time, charges 5% for a withdrawal.  
how much would i have to withdraw to end up with exactly $5000 in hand?

extra credit: show me the algebra.

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**Author:** ![zwaldd](https://avatars.discourse-cdn.com/v4/letter/z/a9adbd/32.png) [@zwaldd](https://boards.straightdope.com/u/zwaldd)\
**Post date:** [October 12, 2000, 8:04pm UTC](https://boards.straightdope.com/t/algabra-problem/36712/2 "2000-10-12T20:04:19Z")

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ok - it was the missing brain cells.  
thanks anyway.

moderator can ya close this before i get made fun of.

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**Author:** ![greyseal](https://avatars.discourse-cdn.com/v4/letter/g/bbe5ce/32.png) [@greyseal](https://boards.straightdope.com/u/greyseal)\
**Post date:** [October 12, 2000, 8:04pm UTC](https://boards.straightdope.com/t/algabra-problem/36712/3 "2000-10-12T20:04:44Z")

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x - .05x = 5000  
(1 - .05)x = 5000  
.95x = 5000  
x ~ 5263.16

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**Author:** ![Saltire](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/saltire/32/553_2.png) [@Saltire](https://boards.straightdope.com/u/Saltire)\
**Post date:** [October 12, 2000, 8:07pm UTC](https://boards.straightdope.com/t/algabra-problem/36712/4 "2000-10-12T20:07:59Z")

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$5263.16

You want to find the amount such that $5000 is 95% of it. Thus:

.95x=5000  
x=5000/.95

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**Author:** ![Nukeman](https://avatars.discourse-cdn.com/v4/letter/n/ce7236/32.png) [@Nukeman](https://boards.straightdope.com/u/Nukeman)\
**Post date:** [October 12, 2000, 8:12pm UTC](https://boards.straightdope.com/t/algabra-problem/36712/5 "2000-10-12T20:12:29Z")

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okay, if you withdraw $5000 you get $5000 dollars, duh, but I want to show off so here goes:

no algebra involved im afraid. Just maths.

If you want to work out what 95% of something is you just go  
5000 x 0.95 = 4750

so, if you withdrew $5000 you would lose $250  
to work out how much you need to withdraw, just do:  
original amount \* 0.95 = 5000  
so original amount = 5000 / 0.95  
= 5263.157 (3 dp)

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**Author:** ![Nukeman](https://avatars.discourse-cdn.com/v4/letter/n/ce7236/32.png) [@Nukeman](https://boards.straightdope.com/u/Nukeman)\
**Post date:** [October 12, 2000, 8:13pm UTC](https://boards.straightdope.com/t/algabra-problem/36712/6 "2000-10-12T20:13:54Z")

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bastards!  
got there while i was typing

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**Author:** ![zwaldd](https://avatars.discourse-cdn.com/v4/letter/z/a9adbd/32.png) [@zwaldd](https://boards.straightdope.com/u/zwaldd)\
**Post date:** [October 12, 2000, 8:42pm UTC](https://boards.straightdope.com/t/algabra-problem/36712/7 "2000-10-12T20:42:57Z")

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> [@](#):
>
> no algebra involved im afraid. Just maths.
> 
> \<snip\>
> 
> original amount \* 0.95 = 5000  
> so original amount = 5000 / 0.95

that’s algebra!

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**Author:** ![Nukeman](https://avatars.discourse-cdn.com/v4/letter/n/ce7236/32.png) [@Nukeman](https://boards.straightdope.com/u/Nukeman)\
**Post date:** [October 12, 2000, 9:50pm UTC](https://boards.straightdope.com/t/algabra-problem/36712/8 "2000-10-12T21:50:54Z")

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no its not. Algebra is with letters  
eg quadratic equations

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**Author:** ![Kyberneticist](https://avatars.discourse-cdn.com/v4/letter/k/dc4da7/32.png) [@Kyberneticist](https://boards.straightdope.com/u/Kyberneticist)\
**Post date:** [October 12, 2000, 10:02pm UTC](https://boards.straightdope.com/t/algabra-problem/36712/9 "2000-10-12T22:02:47Z")

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> [@](#):
>
> \*Originally posted by Nukeman \*  
> \*\*no its not. Algebra is with letters  
> eg quadratic equations \*\*

Dictionary.  
algebra - a generalization of arithmetic in which letters representing numbers are combined according to the rules of arithmetic

You just had a really long way of writing “x”, i.e., “original amount”.

Ok, so this post isn’t completely without substance, was it Lewis Carroll who said “algebra is a wonderful game, we go hunting a beast we know nothing about, so we call it x”?

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**Author:** ![Nukeman](https://avatars.discourse-cdn.com/v4/letter/n/ce7236/32.png) [@Nukeman](https://boards.straightdope.com/u/Nukeman)\
**Post date:** [October 12, 2000, 10:07pm UTC](https://boards.straightdope.com/t/algabra-problem/36712/10 "2000-10-12T22:07:30Z")

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okay youre right, but its not very complicated algebra - not what a mathematician would call algebra. Take a look at some Quantum equations to see what I mean

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**Author:** ![manhattan](https://sea3.discourse-cdn.com/straightdope/user_avatar/boards.straightdope.com/manhattan/32/7_2.png) [@manhattan](https://boards.straightdope.com/u/manhattan)\
**Post date:** [October 12, 2000, 10:31pm UTC](https://boards.straightdope.com/t/algabra-problem/36712/11 "2000-10-12T22:31:56Z")

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Closed at the OP’s request.
