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#1 2016-07-28 11:50:26

Mathegocart
Member
Registered: 2012-04-29
Posts: 2,226

Olympiad mathematical problems

If 5/8 of the kids ahead of john and 1/5 of the kids behind John totals the same as the number of kids on the Merry Go Round, how many kids are on the Merry Go Round?
Hint: On a merry go round, a person is ahead AND behind you at the same time
2) Mr Stars' salary is 1.5 times Thomas' salary. The percentage decrease in S's salary is the same as the increase in T's salary. They now earn the SAME salary. By what percent was S's salary increased?
3) Write 1/2 as the sum of 5 unit fractions. A unit fraction is of the form 1/x, where x is a positive integer
Can someone help me?
4) What is the remainder when 2^100+3^100 is divided by 5?

Last edited by Mathegocart (2016-07-28 13:45:41)


The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

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#2 2016-07-28 12:41:44

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Olympiad mathematical problems

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#3 2016-07-28 12:44:29

Mathegocart
Member
Registered: 2012-04-29
Posts: 2,226

Re: Olympiad mathematical problems

bobbym wrote:

Hi;

I got a slightly different answer, but I have confirmed mine.


The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

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#4 2016-07-28 12:56:59

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Olympiad mathematical problems

To confirm mine I just add them up...do you need to do more?


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#5 2016-07-28 16:24:38

penbowl
Member
Registered: 2016-07-28
Posts: 3

Re: Olympiad mathematical problems

Problem no. 2.      Ans: 20%
T salary=x
S salary=1.5 x
Let increment= y%
1.5 x-1.5 x(y/100)= x+x(y/100)     
150x-1.5xy=100x+xy
50x=2.5xy
y=50x/2.5x=20%

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#6 2016-07-28 16:47:34

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Olympiad mathematical problems




{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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#7 2016-07-28 18:47:34

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Olympiad mathematical problems

Hi;


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

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#8 2016-07-28 21:01:21

thickhead
Member
Registered: 2016-04-16
Posts: 1,086

Re: Olympiad mathematical problems


{1}Vasudhaiva Kutumakam.{The whole Universe is a family.}
(2)Yatra naaryasthu poojyanthe Ramanthe tatra Devataha
{Gods rejoice at those places where ladies are respected.}

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#9 2016-07-28 22:46:01

Mathegocart
Member
Registered: 2012-04-29
Posts: 2,226

Re: Olympiad mathematical problems

penbowl wrote:

Problem no. 2.      Ans: 20%
T salary=x
S salary=1.5 x
Let increment= y%
1.5 x-1.5 x(y/100)= x+x(y/100)     
150x-1.5xy=100x+xy
50x=2.5xy
y=50x/2.5x=20%

I have the same anwser! cheers


The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

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#10 2016-07-28 22:47:24

Mathegocart
Member
Registered: 2012-04-29
Posts: 2,226

Re: Olympiad mathematical problems

thickhead wrote:


Yes! I have gotten 4.


The integral of hope is reality.
May bobbym have a wonderful time in the pearly gates of heaven.
He will be sorely missed.

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#11 2016-07-29 03:19:19

ElainaVW
Member
Registered: 2013-04-29
Posts: 580

Re: Olympiad mathematical problems

@bobbym:

3) How did you get those 2 answers.The EF algorithms you gave me won't do 1 / 2.

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#12 2016-07-29 04:03:36

bobbym
bumpkin
From: Bumpkinland
Registered: 2009-04-12
Posts: 109,606

Re: Olympiad mathematical problems

Hi EVW;

It seems that it is rather simple to get as many of them as you want if you treat this as a computational problem.


In mathematics, you don't understand things. You just get used to them.
If it ain't broke, fix it until it is.
Always satisfy the Prime Directive of getting the right answer above all else.

Offline

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