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

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) (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
RELATED QUESTIONS
During dinner, the guess were told to share dishes with one another. Every two of them... (answered by addingup)

A farmer has 60 cows, pigs, and horses. There are 4 times as many cows and pigs than... (answered by josmiceli)

In a laboratory, there were just enough microscopes, test tubes, and calculators so that... (answered by stanbon)

1. Jonas bought 200 share of a stock for $36/625 per share, and had to pay a commission... (answered by Boreal,ikleyn)

A certain sum is divided among A, B and C in a manner that for every rupee A gets, B gets (answered by mananth)

During dinner the guests were told to share dishes with one another, every 2 of them... (answered by Theo)

three business partners A, B and C share their profits as follows: The ratio of A's... (answered by Theo,greenestamps)

1.Three business partners A, B and C share the profits as follows the ratio of A's... (answered by Theo)

good evening Three business partners, A, B and C, share the profits as follows: The (answered by greenestamps)