Ducks and pigs are friends...

Algebra Level 1

While I was driving through the countryside, I saw a farmer tending his ducks and pigs in his yard. I was curious to know how many of each he had. I stopped the car and then inquired the farmer.

He replied: "The animals have altogether 60 eyes and 86 feet between them."

How many number of ducks and pigs the farmer had?

21 21 ducks and 9 9 pigs 9 9 ducks and 21 21 pigs 17 17 ducks and 13 13 pigs 13 13 ducks and 17 17 pigs None of These

Parag Zode by Parag Zode , 24, India

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1 solution

Ellis Stephenson
Aug 3, 2015

Let x=number of ducks

Let y=number of pigs

x has 2 eyes and 2 feet

y has 2 eyes and 4 feet

Total number of eyes=60

Total number of feet=86

From this we can deduce:

Eyes: 2x+2y=60 (x+y=30)

Feet: 2x+4y=86 (x+2y=43)

By solving these as simultaneous equations, subtracting eyes from feet:

y=13

Substituting this into either equation we find x=17

Therefore, the farmer has 17 ducks and 13 pigs

1 Helpful 0 Interesting 0 Brilliant 0 Confused

Nice solution.. Upvoted! ⌣ ¨ \ddot\smile

Parag Zode - 5 years, 10 months ago

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