9. On Old farm, every two horses share a trough, every three cows share a trough, and every eight pigs share a trough. Old has the same number of each animal, and he has a total of 69 troughs. How many animals does Old have on his farm? o
Answers
Answer:
216 is your answer mark me brillianst answer please
Given : On Old MacDonald's farm, every two horses share a trough,
every three cows share a trough, and
every eight pigs share a trough.
Old MacDonald has the same number of each animal,
and he has a total of 69 troughs.
To Find : How many animals does Old MacDonald have on his farm?
Solution:
Animals of Each type = x
Total Animals = 3x
Trough used by Horses = x/2
Trough used by cows = x/3
Trough used by pigs = x/8
Total Trough = x/2 + x/3 + x/8
= ( 12x + 8x + 3x) /24
= 23x/24
23x/24 = 69
=> x = 72
Total Animals = 3x = 3(72) = 216
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