Question 251874: A farmer had a herd of 24 animals, some sheep and some goats. He sold the sheep
for $140 each and the rest of the herd, the goats for $100 each. If he had sold the whole herd at the uniform price of $120 per animal, he would have gained 360
more dollars. How many goats did he sell?
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! A farmer had a herd of 24 animals, some sheep and some goats.
Whole herd selling income: 24*120 = $2880
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He sold the sheep for $140 each and the rest of the herd, the goats for $100 each. If he had sold the whole herd at the uniform price of $120 per animal, he would have gained 360 more dollars.
Equation:
s + g =24
140s + 100g = 2880-360
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s = 24-g
140s + 100g = 2520
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Substitute for "s" and solve for "g":
140(24-g) + 100g = 2520
140*24 - 140g + 100g = 2520
-40g = -840
g = 21 (# of goats)
Since s = 24-g, s = 24-21 = 3 (# of sheep)
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Cheers,
Stan H.
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