SOLUTION: In a barn every two horses share a trough, every three cows share a trugh and every eight pigs share a trough. The farmer has the same nuber of each animal. There is a total of s

Algebra ->  Percentage-and-ratio-word-problems -> SOLUTION: In a barn every two horses share a trough, every three cows share a trugh and every eight pigs share a trough. The farmer has the same nuber of each animal. There is a total of s      Log On


   



Question 144787: In a barn every two horses share a trough, every three cows share a trugh and every eight pigs share a trough. The farmer has the same nuber of each animal. There is a total of sixty nine troughs. How many animals does the farmer have in total?
Answer by scott8148(6628) About Me  (Show Source):
You can put this solution on YOUR website!
let 3x="number of animals"

x/2+x/3+x/8=69 __ multiplying by 24 (LCD) __ 12x+8x+3x=69*24 __ 23x=69*24

dividing by 23 __ x=72 __ substituting __ 3(72)=216