Maths Olympiad Prep

Track / Stage 4 / 340 of 340 #600 of 1964

Problem 600

AMC 12 late, AIME early
Combinatorics Difficulty 5.0 Find the answer

In the zoo, there are some chickens and rabbits, which have a total of 286 legs. The keeper puts 3 chickens and 2 rabbits in each cage, and in the end, there is only 1 chicken and 1 rabbit left in a cage, so the number of chickens 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: 61

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