MathDB

1

Part of 2002 May Olympiad

Problems(2)

prism by cubes

Source: VIII May Olympiad (Olimpiada de Mayo) 2002 L2 P1

9/19/2022
Using white cubes of side 11, a prism (without holes) was assembled. The faces of the prism were painted black. It is known that the cubes left with exactly 44 white faces are 2020 in total. Determine what the dimensions of the prism can be. Give all the possibilities.
geometry3D geometryprism
men and women in a hotel, spending money

Source: VIII May Olympiad (Olimpiada de Mayo) 2002 L1 P1

9/22/2022
A group of men, some of them accompanied by their wives, spent $1.000\$1.000 on a hotel. Each man spent $19\$19 and each woman $13\$13. Determine how many women and how many men there were.
algebra