MOEMS Marathon

Bachukas

After each two rounds he lost 1% money.

After 10th round he had: $10000*0,99^5 = 9509.90$ dollars, so he lost $490,10$ dollars.

<New problem>

Mr. Johnson have 3 sons, if you multiple them age, you'll get 36, if you sum them age you'll get 13, oldest son can play with piano. How old are sons?

**Posted:** Wed Jul 30, 2008 3:59 am

FantasyLover

you know that theres only one oldest son.

you get 2, 2, 9.

<New Problem>

5 Fantasy Books cost $\$28.50$ .
How much does 9 Fantasy Books cost?

**Posted:** Wed Jul 30, 2008 4:01 am

_________________
AAST 2013

isabella2296

If there's an oldest son, then we know they can't all be the same age.

$xyz = 36$

$x + y + z = 13$

With some brute force, our answer is $2$ , $2$ , and $9$ .

New Problem:

Izzy can read 12 books in 24 hours. Bachukas can read 8 books in 36 hours. Fantasy Lover can read one book in 36240 hours. If they all read nonstop for one year(with 365 days) how many books in total will they read?

EDIT: Beaten to it. Again.

**Posted:** Wed Jul 30, 2008 4:04 am

_________________
Czech out $\mathfrak {Encyclopedia } \mathfrak { Mathematica}$
Latest entry: Nine-Point Center

Bachukas

**Posted:** Wed Jul 30, 2008 4:07 am

isabella2296

**Posted:** Wed Jul 30, 2008 4:14 am

_________________
Czech out $\mathfrak {Encyclopedia } \mathfrak { Mathematica}$
Latest entry: Nine-Point Center

Bachukas

**Posted:** Wed Jul 30, 2008 4:14 am

ernie

35: Find the longest integer length line that can fit in a prism with edge lengths $3$ , $6$ , and $9$ .

**Posted:** Wed Jul 30, 2008 5:57 am

_________________
If pro is the opposite of con, then what's the opposite of progress? Razz

isabella2296

$\sqrt{3^2 + 6^2 + 9^2}$

$\boxed{11}$

Problem Thirty Six: Shelly eats 5 apples in one hour. How many apples will she eat in one year?

**Posted:** Wed Jul 30, 2008 6:11 am

_________________
Czech out $\mathfrak {Encyclopedia } \mathfrak { Mathematica}$
Latest entry: Nine-Point Center

FantasyLover

huh Shelly spends a whole year only eating apple??

5*24*365=43800

answer : 43800

<Problem 37>

FantasyLover can read 2 books in 3 days, in which that Fantasy Books are a part of Fantasy Book Series consisting 24 books.
How many days am I going to spend finishing the Fantasy Book Series?

**Posted:** Wed Jul 30, 2008 6:38 am

_________________
AAST 2013

isabella2296

$24 \div 12 \times 3 \implies \boxed{36 \text{ days}}$

Izzy decides to play a CountDown against FantasyLover. Izzy has a $\frac{999}{1000}$ chance of winning. There's a $\frac{1}{1000}$ chance of tying. What is the probability that Fantasy wins? Mr. Green

**Posted:** Wed Jul 30, 2008 6:41 am

_________________
Czech out $\mathfrak {Encyclopedia } \mathfrak { Mathematica}$
Latest entry: Nine-Point Center

Bachukas

**Posted:** Wed Jul 30, 2008 6:45 am

isabella2296

**Posted:** Wed Jul 30, 2008 6:52 am

_________________
Czech out $\mathfrak {Encyclopedia } \mathfrak { Mathematica}$
Latest entry: Nine-Point Center

vallon22

**Posted:** Wed Jul 30, 2008 6:54 am

_________________
~Vallon

join the mock mathcounts!!! http://www.artofproblemsolving.com/Forum/viewtopic.php?t=303085

isabella2296

Oops, I meant $3 \times (24 \div 2)$ .

**Posted:** Wed Jul 30, 2008 6:55 am

_________________
Czech out $\mathfrak {Encyclopedia } \mathfrak { Mathematica}$
Latest entry: Nine-Point Center

Bachukas

**Posted:** Wed Jul 30, 2008 7:04 am

isabella2296

Sorry, I think that problem is too hard. Can you please post another?

**Posted:** Wed Jul 30, 2008 7:31 am

_________________
Czech out $\mathfrak {Encyclopedia } \mathfrak { Mathematica}$
Latest entry: Nine-Point Center

FantasyLover

umm lemme guess

is it $2*3*5*7*11*13*17+1=510511?$

**Posted:** Wed Jul 30, 2008 7:35 am

_________________
AAST 2013

isabella2296

**Posted:** Wed Jul 30, 2008 7:36 am

_________________
Czech out $\mathfrak {Encyclopedia } \mathfrak { Mathematica}$
Latest entry: Nine-Point Center

isabella2296

I think you mean

$x = 2^{2^{2^{2}}}$

$x = \boxed{65536}$

<New Problem>

Bachukas can solve 5 word problems in 2 seconds. How many word problems can he solve in one century?

EDIT: What? Before this post, Bachukas had a post with a problem and now it's gone... Huh?

**Posted:** Wed Jul 30, 2008 7:47 am

_________________
Czech out $\mathfrak {Encyclopedia } \mathfrak { Mathematica}$
Latest entry: Nine-Point Center

mz94

in 100 years there are

60*60*24*365*100+60*60*24*25(leap years)

*gets out calculator*

divide this by 2 to get 1684800000. muliply by 5 and get 8424000000 problems. but hed be dead looooonnng before that.

new prob

Isabella gets easy questions right at a rate of 85%, and hard questions at a rate of 62%. If there are 23 easy and 23 hard questions on a test, how many points would you expect isabella to get? (rounded)

**Posted:** Wed Jul 30, 2008 10:04 am

_________________
AAST 2013
사랑해! 빅뱅>에픽하이!
Oh, and just in case you didn't notice, Angie is my beeeest friend! =)