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?

Guest Aug 26, 2020

#1**+1 **

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.

!

asinus Aug 26, 2020