Difference between revisions of "1956 AHSME Problems/Problem 6"
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Problem 6
In a group of cows and chickens, the number of legs was 14 more than twice the number of heads. The number of cows was:
Solution 1
Suppose that there are cows and chickens. Then there are legs and heads. Then we have . This expands to . Canceling from both sides, we get , implying that . Therefore, the answer is , and we are done.