Shyannd2016 Shyannd2016
  • 30-04-2017
  • Mathematics
contestada

There are 18 animals. Some cows and some ducks with a total of 60 legs. How many cows and how many ducks?

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Equanimity
Equanimity Equanimity
  • 30-04-2017
X + Y = 18
X=chickens, Y=Cows
2x + 4y = 60
Let's try 8 and 10.
16 + 40=56, no, 32+20=52, no. 8&10 do not work.
Let's try 9 and 9.
18+36=54, no. 9&9 do not work.
Let's try 11 & 7.
22+28=50, no. 14+44=58, no.
Let's try 12 & 6.
24+24=48, no. 12+48=60 YES!
There are 12 cows and 6 chickens.
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