Maths Olympiad Prep

Track / Stage 4 / 68 of 340 #328 of 1964

Problem 328

AMC 12 late, AIME early
Combinatorics Difficulty 4.7 Find the answer

45. Now there are chickens and rabbits in a cage, with 30 heads above and 100 feet below. The number of chickens in the cage is \qquad .

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

Official solution

answer: 10

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