Maths Olympiad Prep

Track / Stage 4 / 80 of 340 #340 of 1964

Problem 340

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

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.

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Official solution

answer: 10

Source: NuminaMath-1.5, licensed Apache-2.0. Statement reproduced verbatim; metadata (topic, difficulty, ordering) added by this project.