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Old Mc Donald raises ducks and cows. The animals have a total of 100 heads and 354 feet. How many ducks and how many cows does Old Mc Donald have?

 Aug 26, 2020
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Old Mc Donald raises ducks and cows. The animals have a total of 100 heads and 354 feet. How many ducks and how many cows does Old Mc Donald have?

 

Hello Guest!

 

\(x+y=100\\ y=100-x\\ 2x+4y=354\\ 2x+4(100-x)=354\\ 2x+400-4x=354\)

\(-2x=354-400\\ -2x=-46\)

\(x=23\)

\(y=100-x\\ y=100-23 \)

\(y=77\)

 

Old Mac Donald has 77 cows and 23 ducks.

laugh  !

 Aug 26, 2020

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