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The dreaded word problem

Source: 1959 AMC 12 Problem 9

August 13, 2013
least common multipleAMCword problemsalgebraAMC 12

Problem Statement

A farmer divides his herd of nn cows among his four sons so that one son gets one-half the herd, a second son, one-fourth, a third son, one-fifth, and the fourth son, 7 cows. Then nn is: <spanclass=′latex−bold′>(A)</span> 80<spanclass=′latex−bold′>(B)</span> 100<spanclass=′latex−bold′>(C)</span> 140<spanclass=′latex−bold′>(D)</span> 180<spanclass=′latex−bold′>(E)</span> 240 <span class='latex-bold'>(A)</span>\ 80 \qquad<span class='latex-bold'>(B)</span>\ 100\qquad<span class='latex-bold'>(C)</span>\ 140\qquad<span class='latex-bold'>(D)</span>\ 180\qquad<span class='latex-bold'>(E)</span>\ 240
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