total of 17 heads and 42 feet with 3 times more ducks as pigs so how many duck do you have
there are 4 pigs and 13 ducks
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
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
To determine the number of ducks you have, we need to set up equations based on the given information.
Let's assume the number of pigs is represented by 'P' and the number of ducks is represented by 'D'.
According to the given information, we know:
Number of heads: P + D = 17
Number of feet: 4P + 2D = 42
We also know that there are three times more ducks than pigs, so D = 3P.
Now, we can substitute the value of D from the second equation into the first equation:
P + 3P = 17
4P = 17
P = 17/4
P = 4.25
Since we cannot have a fractional number of pigs, we need to round down to the nearest whole number. Therefore, we can conclude that there are 4 pigs.
Using the equation D = 3P, we can find the number of ducks:
D = 3 * 4
D = 12
So, there are 12 ducks.