Posted by **stacey** on Sunday, January 20, 2013 at 12:52pm.

total of 17 heads and 42 feet with 3 times more ducks as pigs so how many duck do you have

- math -
**Surya Teja**, Sunday, January 20, 2013 at 2:52pm
there are 4 pigs and 13 ducks

- math -
**anoneemose**, Sunday, January 20, 2013 at 2:53pm
well, the only way there can be 17 heads and 42 feet and 3 times more ducks, would be: 4 pigs (4 heads and 4 feet for each

4x4= 16 feet

13 ducks ( 13 heads and 2 feet each

13x2 =26 feet

Heads = 4+13=17 for 4 pigs

feet =16+26=42 for 13 ducks

4(Pigs) X 3 = 12

so there are 3 times more ducks

- math -
**Reiny**, Sunday, January 20, 2013 at 3:36pm
number of pigs --- x

number of ducks -- 3x

for heads: x + 3x = 17

4x = 17

x = 17/4 , which is not a whole number, so **the question is bogus**

There is no answer, the way it is worded.

However, if we skip the fact that there are 3 times as many ducks as pigs, we can solve it

number of pigs -- x

number of ducks -- y

for heads: x + y = 13

for feet:

4x + 2y = 42

2x + y = 21

2x + y = 21

x + y = 17

subtract them:

x = 4

then y = 13

that is the answer that Surya Teja had given, but it would not have met the condition that there 3 times as many ducks as pigs, since 3x4 ≠ 17

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