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Tech support and questions about AoPS classes and materials
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Simple problem on percentages
ohiorizzler1434   9
N Apr 3, 2025 by RedChameleon
Fanum and Kai Cenat are getting taxed. If Fanum's tax increases by 60%, then Fanum will be taxed 24 dollars. If Kai Cenat's tax increases by 20%, then he would also be taxed 24 dollars.

How much more is Kai Cenat taxed than Fanum?
9 replies
ohiorizzler1434
Feb 20, 2024
RedChameleon
Apr 3, 2025
Water Watermelon
hwenterprise   23
N Mar 31, 2025 by KF329
A giant watermelon weighed 50 pounds and was 99 percent water. After sitting in the hot sun, some of the water evaporated so that the watermelon was only 98 percent water. What is the new weight of the watermelon?
23 replies
hwenterprise
Sep 18, 2005
KF329
Mar 31, 2025
Nafael Fadal
Tennis_Coke_Life   5
N Dec 18, 2024 by Tennis_Coke_Life
Tennis player Rafael Nadal (Rafa) has recently retired. let's all cry

Problem:

Rafael Nadal is telling a bedtime story to his son, which is all about Nafael Fadal who is a tennis player and defeats his opponents with the power of his huge left arm. In his story Nafael plays the number one player is the world: Dodger Bederer. The year is 2006, and this is the final of the tournament Aopstralia Open. (how original his story is)

For every ball Nafael hits in a rally, the chance of him hitting a winner goes up 10 percent, while the chance of him missing goes up 5 percent. Assume Nafael starts at 10%.

For every ball Dodger hits, he has a 40% chance of missing his backhand and a 20 percent chance of missing his forehand for the first 5 balls he hits in the rally. After that he has a 70% chance of missing a backhand and a 50% chance of missing his forehand. Dodger hits a forehand or a backhand with equal chance (50%). Assume he cannot hit a winner against: Ishowspeed, wait no (Nafael).



What is the expected length of the rallies?

What is the winner if they play 200 points (rallies)?

How many winners is Nadal expected to hit in 200 points?
5 replies
Tennis_Coke_Life
Dec 6, 2024
Tennis_Coke_Life
Dec 18, 2024
Percent problem.
Srinjini_060313   13
N Sep 22, 2024 by mathnerd_101
Hi! My name is __________ And I need SEVERE HELP IN PERCENT WORD PROBLEMS!

Are there any suggestions on how to solve those problems in general?

I am trying to learn it myself, so that just makes life harder. Thanks for the help provided!
13 replies
Srinjini_060313
Sep 4, 2024
mathnerd_101
Sep 22, 2024
Percent problem
ULversionInfinity   2
N Aug 7, 2024 by ULversionInfinity
Dr. Jekyll has 180 mL of solution that is acid. How many mL of the solution must be replaced with pure acid in order to have a solution that is acid

My answer:Click to reveal hidden text

Book answerClick to reveal hidden text
2 replies
ULversionInfinity
Aug 7, 2024
ULversionInfinity
Aug 7, 2024
Rate percent
mia.uminkoko   2
N Aug 21, 2023 by Mello1010
An antique silk rug is worth $12000 after it has appreciated by 5 % for ten consecutive years. How much was it worth ten years ago?
2 replies
mia.uminkoko
Aug 21, 2023
Mello1010
Aug 21, 2023
Rate problem quality and try to solve it!
goldendog   18
N Aug 15, 2023 by Bob_Smart
Steve is stuck in in minecraft. Every 10 seconds there is a 1/12 chance of a mob spawning that has a 1/3 chance of attacking Steve. If Steve is attacked, there is a 1/2 chance he shall lose all his hearts (he has 10) and a 1/2 chance that he will only lose 5 hearts. If steve loses ALL his hearts he dies. If Steve does not eat every minute, Steve will lose half a heart. Steve have a 1/4 chance of finding food every 16 seconds. There is also a 1/12 chance of Steve finding a potion every 2 minutes that allows him to not eat for 10 minutes. Finally, there is a 15% chance he will find Diamond armor every day, which let's him block half the damage form the mobs. The diamond armor is only good for 3 days though. What is the probability Steve will survive a Fortnight?

Edit: Steve can only keep 3 foods at a time.
18 replies
goldendog
Aug 9, 2023
Bob_Smart
Aug 15, 2023
2010 AMC 8 - Problem 3 - difference of highest and lowest
Amir Hossein   11
N May 23, 2023 by URcurious2
The graph shows the price of five gallons of gasoline during the first ten months of the year. By what percent is the highest price more than the lowest price?

IMAGE

$\textbf{(A)}\ 50 \qquad
\textbf{(B)}\ 62 \qquad
\textbf{(C)}\ 70 \qquad
\textbf{(D)}\ 89 \qquad
\textbf{(E)}\ 100$
11 replies
Amir Hossein
May 27, 2011
URcurious2
May 23, 2023
help/hint on an algebra problem?
evanykim   8
N May 17, 2023 by A_MatheMagician
here's an algebra question i'm having trouble on:

5000 dollars compounded annually at an x% interest rate takes 6 years to double. At the same interest rate, how many years will it take 300 dollars to grow to 9600 dollars?

I used $(1+\frac{r}{100})^n(k)$, so I ended up with k as 5000 dollars, n as 6 years, and x as 10,000 dollars. I simplified this to $\frac{r}{100}=2^\frac{1}{6}-1$. This means that r is a negative percent…what did I do wrong here?
8 replies
evanykim
May 17, 2023
A_MatheMagician
May 17, 2023
How do you solve this?
miguel00   6
N May 6, 2023 by solasky
Emmitt the frog starts at the point 0 on a number line and makes a sequence of
hops to the right. Each time he hops, Emmitt hops either 3 units or 8 units to the
right with equal probability. What is the probability that Emmitt eventually lands
on the number 2020? Express your answer to the nearest whole percent.

I cannot solve this problem. Would somebody provide a full solution?
6 replies
miguel00
May 5, 2023
solasky
May 6, 2023
a