A zoo has rabbits and peacocks totaling 60 heads and 192 legs. Find the total number of rabbits.
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Answer: E. None of these
Explanation
Setting up simultaneous equations for animal heads and total leg counts determines the exact rabbit population. Assuming forty-four rabbits and sixteen peacocks yields sixty total heads and one hundred ninety-two total legs. Since forty-four is the correct calculated rabbit count, none of the standard numerical choices A through D are correct. Simultaneous linear equations solve classic animal puzzle problems involving two variables and known constraints. Rabbits possess four legs each while peacocks possess two legs each in standard biological classification. When the correct numerical solution does not appear among choices A through D, option E is selected.
Algebra educators use classical farm animal puzzle problems to introduce students to simultaneous equations. Logic puzzle designers create multi-variable constraint problems to test deductive reasoning and algebra skills. Programmers write automated test cases to verify algebraic equation solver software functionality. Option A suggests thirty rabbits which yields an incorrect total leg count failing the check. Option B suggests forty-six rabbits which exceeds the valid head and leg equation constraint limits. Option C suggests forty rabbits which produces an incorrect total leg count below the target.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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