Maths Olympiad Prep

Track / Stage 4 / 92 of 340 #352 of 1964

Problem 352

AMC 12 late, AIME early
Combinatorics Difficulty 4.8 Find the answer

85. Kindergarten children are doing handicrafts together, with every 2 people sharing a pair of scissors, every 3 people sharing a glue stick, and every 4 people sharing a box of crayons. If there are a total of 26 scissors, glue sticks, and boxes of crayons, then the number of children is. \qquad

A number or a short expression. Fractions can be typed as 3/2, and spacing doesn't matter.

Official solution

Reference answer: 24

Key point: Chicken and rabbit in the same cage

Source: NuminaMath-1.5, licensed Apache-2.0. Statement and solution reproduced as published; topic, difficulty and ordering added by this site.