Math Is Fun Forum
You are not logged in.
- Topics: Active | Unanswered
Pages: 1
#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.
Offline
#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.
Offline
#3 2016-07-28 12:44:29
- Mathegocart
- Member
- Registered: 2012-04-29
- Posts: 2,226
Re: Olympiad mathematical problems
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.
Offline
#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.
Offline
#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%
Offline
#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.}
Offline
#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.
Offline
#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.}
Offline
#9 2016-07-28 22:46:01
- Mathegocart
- Member
- Registered: 2012-04-29
- Posts: 2,226
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%
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.
Offline
#10 2016-07-28 22:47:24
- Mathegocart
- Member
- Registered: 2012-04-29
- Posts: 2,226
Re: Olympiad mathematical problems
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.
Offline
#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.
Offline
#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
Pages: 1