SOLUTION: jose's farm has 35 ducks and goat. when jose counts the feet of his farm animals all in all it is 106. how many dusks does he have?

Algebra.Com
Question 1170294: jose's farm has 35 ducks and goat. when jose counts the feet of his farm animals all in all it is 106. how many dusks does he have?
Found 3 solutions by josgarithmetic, ikleyn, greenestamps:
Answer by josgarithmetic(39618)   (Show Source): You can put this solution on YOUR website!




question is, find d.

E1-E2:
Answer by ikleyn(52792)   (Show Source): You can put this solution on YOUR website!
.
jose's farm has 35 ducks and goat. when jose counts the feet of his farm animals all in all it is 106.
how many dusks does he have?
~~~~~~~~~~~~~~~ 


Let "d" be the number of ducks.

Then the number of goats was  (35-d) : they are the rest of animals.


There is no need to remind that ducks have two legs, while goats have four legs.


Therefore, the equation for total of the legs is

    2d + 4*(35-d) = 106.     (*)


Simplify it and find the unknown value of "d".

    2d + 140 - 4d = 106

      -2d         = 106 - 140

      -2d         = -34

       d          =  = 17.


ANSWER.  There are 17 ducks at the farm.


CHECK.  I will check if the equation (*) is satisfied.


        2*17 + 4*(35-17) = 34 + 2*18 = 34 + 72 = 106.     ! Precisely correct !

Solved, answered, explained and checked.



Answer by greenestamps(13200)   (Show Source): You can put this solution on YOUR website!


If a formal algebraic solution is not required, here is a quick and easy way to get the solution to a problem like this.

(1) If all 35 animals were ducks, the number of feet would be 35*2 = 70.
(2) The actual total number of feet is 106, which is 36 more than 70.
(3) Each goat has 2 more feet than each duck.
(4) The number of goats needed to get the additional 36 feet is 36/2 = 18.
(5) Since the number of goats is 18, the number of ducks is 35-18 = 17.

And of course you could do the same kind of solution starting by knowing that if all 35 animals were goats the number of feet would be 35*4 = 140.
RELATED QUESTIONS

Tops went to his grandfather’s farm. His grandfather has cows and ducks on his farm. He (answered by josgarithmetic)
Hi A farmer has chickens and ducks o his farm. If he sells 2 chickens and 3 ducks a day (answered by ikleyn)
Old McDonald has a farm with 108 chickens. The chickens comprise 60% of his farm, and the (answered by josgarithmetic,MathTherapy)
John has 18 chickens. this is three-fifts of the animals in his farm. how many animals... (answered by MathLover1)
Mike has only ducks and cows on his farm. The cows and ducks have 52 legs in total.... (answered by Edwin McCravy)
on a farm there are 65 animals, all cows and ducks. The 65 animals have a total of 224... (answered by ptaylor)
Hi A farmer has chickens and ducks in his farm. If he sells 2 chickens and 3 ducks a... (answered by Boreal)
jose has a garden in his backyard. his garden measures 33 feet by 39 feet. the garden has (answered by josgarithmetic)
There are 21 animals on Farmer Cole's farm- all sheep and chickens. If the animals have a (answered by checkley77)