SOLUTION: A farmer has donkeys and ostriches. There are 100 heads and 252 legs. Two donkeys have three legs each. calculate how many of each animal type the farmer has.

Algebra.Com
Question 1026792: A farmer has donkeys and ostriches. There are 100 heads and 252 legs. Two donkeys have three legs each. calculate how many of each animal type the farmer has.
Found 2 solutions by ikleyn, MathTherapy:
Answer by ikleyn(52858)   (Show Source): You can put this solution on YOUR website!
.
A farmer has donkeys and ostriches. There are 100 heads and 252 legs.
Two donkeys have three legs each. calculate how many of each animal type the farmer has.
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Distract 2*3 = 6 legs and 2 heads.


Then you will have the problem for normal animals:


   A farmer has donkeys and ostriches. There are 98 heads and 246 legs.     
   Calculate how many of each animal type the farmer has.


For this, see the lesson  Problem on animals at a farm  where similar problems were solved.

Use them as samples and solve your problem by using the same logic and the same technique.


At the end do not forget to return back two heads that you distracted in the beginning.

Good luck!


Answer by MathTherapy(10556)   (Show Source): You can put this solution on YOUR website!

A farmer has donkeys and ostriches. There are 100 heads and 252 legs. Two donkeys have three legs each. calculate how many of each animal type the farmer has.
Let the number of donkeys be D
Then number of ostriches = 100 – D
Number of donkeys with 4 legs: D – 2
We then get the following LEGS equation: 2(100 - D) + 4(D – 2) + 3(2)) = 252
200 - 2D + 4D – 8 + 6 = 252
- 2D + 4D + 198 = 252
2D = 252 – 198
2D = 54
D, or number of donkeys = , or
Number of ostriches: 100 – 27, or
RELATED QUESTIONS

A farmer has donkeys and ostriches. There are 100 heads and 252 legs. Two donkeys have... (answered by macston)
In a coral there are donkeys and ostriches.The are 114 heads and 314 legs how many... (answered by Edwin McCravy,ikleyn)
A zoo has no lions and ostriches. Pet Sitting guy spoke 15 heads and 50 legs. How many... (answered by Alan3354,stanbon)
A zoo has some lions and ostriches. Pet Sitting guy spoke 15 heads and 50 legs. How many... (answered by ewatrrr)
A farmer has chickens and pigs. There are 43 heads and 142 legs. How many chickens does (answered by nshah11)
A farmer has sheep and geese. There are a total of 36 animals and 118 legs. How many of (answered by scott8148)
Using matrix method a mathematician turned farmer has cows and chicken. There are 148... (answered by lynnlo)
A farmer has cows and chickens. Juan counted 296 legs in the farmyard. If there are 100... (answered by Edwin McCravy,stanbon)
A farmer has a combined total of 30 pigs and ducks and there is a combined total of 100... (answered by Edwin McCravy,lynnlo)