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1958 AMC 12 Question 32

AMC12 · 1958 AMC 12

Question 32

With $\$1000$ a rancher is to buy steers at $\$25$ each and cows at $\$26$ each. If the number of steers $s$ and the number of cows $c$ are both positive integers, then:
  1. this problem has no solution
  2. there are two solutions with $s$ exceeding $c$
  3. there are two solutions with $c$ exceeding $s$
  4. there is one solution with $s$ exceeding $c$
  5. there is one solution with $c$ exceeding
    $s$