This website contains problems from math contests. Problems and corresponding tags were obtained from the Art of Problem Solving website.

Tags were heavily modified to better represent problems.

AND:
OR:
NO:

Found problems: 2

2022 BAMO, A
Tags: logic , BAMO , 2022 bamo
If I have 100 cards with all the numbers 1 through 100 on them, how should I put them in order to create the largest possible number?

2022 BAMO, B
Tags: algebra , BAMO , 2022 bamo , percentages
You are bargaining with a salesperson for the price of an item. Your first offer is $a$ dollars and theirs is $b$ dollars. After you raise your offer by a certain percentage and they lower their offer by the same percentage, you arrive at an agreed price. What is that price, in terms of $a$ and $b$?