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smc

prealgebra intermediate

Problem

A farmer divides his herd of 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, cows. Then is:
(A)
(B)
(C)
(D)
Solution
The first three sons get of the herd, so that the fourth son should get of it. But the fourth son gets cows, so the size of the herd is . Then our answer is .
Final answer
C