SOLUTION: Famer Brown had some animals. One-fourth were horses, one-half were cows, and the rest were pigs. He had 8 pigs. How many animals did he have altogether?

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Question 121885: Famer Brown had some animals. One-fourth were horses, one-half were cows, and the rest were pigs. He had 8 pigs. How many animals did he have altogether?
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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Farmer Brown had some animals. One-fourth were horses, one-half were cows, and the rest were pigs. He had 8 pigs. How many animals did he have altogether?
:
Let x = total no. of animals
:
One-fourth were horses,: 1%2F4x
one-half were cows: 1%2F2x
and the rest were pigs. He had 8 pigs.
:
How many animals did he have altogether?
:
total = horses + cows + pigs
x = 1%2F4x + 1%2F2x + 8
:
Multiply equation by 4:
4*x = 1%2F4x + 4*1%2F2x + 4(8)
Cancel the denominators and you have:
:
4x = 1x + 2x + 32
4x - 3x = 32
x = 32 total animals
:
:
Check solution of x = 32
1%2F4*32 + 1%2F232 + 8 =
8 + 16 + 8 = 32