SOLUTION: A farmer has donkeys and ostriches. There are 100 heads and 252 legs. Two donkeys have three legs each. Calculate how many of each animal type the farmer has.
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Question 1021621: A farmer has donkeys and ostriches. There are 100 heads and 252 legs. Two donkeys have three legs each. Calculate how many of each animal type the farmer has. Answer by macston(5194) (Show Source):
You can put this solution on YOUR website! .
D=number of 4 legged donkeys; S=number of ostriches
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Not counting 3 legged donkeys, there are 98 heads and 246 legs.
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D+S=98
S=98-D
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4D+2S=246
4D+2(98-D)=246
4D+196-2D=246
2D=50
D=25
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S=98-D=98-25=73
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ANSWER: There are 25 four legged donkeys, 2 three legged donkeys,
and 73 ostriches.
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CHECK:(counting legs)
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4D+2S=246
4(25)+2(73)=246
100+145=246
246=246
