6th grade math
posted by mcook .
on a farm there is 18 pigs and chickens (all together). There are 52 legs, how many pigs and how many chickens are there? Show how you got your answer. i know there are 10 chickens and 8 pigs, but i did that through trial and error, can you help me figure out the right math to do for this problem.

There are two ways to do it, the farmer's way and the mathematicians's. I prefer the farmer's way.
First, the farmer's way:
We have 18 animals and 52 legs.
If we have 9 of each, that makes an average of 3 legs each animal, we get 3*18=54 legs. We only have 52. So change one pig (91=8) for a chicken (9+1=10) to get 52 legs (two less). That makes 10 chickens and 8 pigs. No calculators, no pain either.
Now the mathematicians way:
Let p be the number of pigs, then the number of chickens is (18p).
The total number of legs is thus
4*p + 2(18p) = 52
2p = 5236
p = 16/2
=8
(18p) = 188 = 10
Answer: there are 8 pigs and 10 chickens. 
make a funny sentense for each math word

5OIRUYMT
Respond to this Question
Similar Questions

Math
Can you please help me figure out how i go about figuring the following problem? 
Math 8th grade
A pen contained chickens and pigs. There were 28 legs and 9 heads. How many chickens were in the pen? 
algebra
A farm raises a total of 220 chickens and pigs. The number of legs of the stock in the farm totals 520. how many chickens and pigs are there on the farm. using systems of equations to solve 
Algebra 1
a farm raises a total of 220 chickens and pigs. The number of legs of the stock in the farm totals 520. How many chickens and pigs are at the farm? 
Algebra
An algebra teacher drove past a farmyard that was full of chickens and pigs. The teacher happened to notice that there were a total of 70 heads and 200 legs. How many chickens and how many pigs were there? 
Math
There are three times as many chickens than pigs on a farm. All the chickens and pigs have 2400 feet all together. How many more chickens than pigsare there? 
Math Year 10  Simultaneous equations
Q. A small farm has sheep and chickens. There are twice as many chickens as sheep, and there are 104 legs between the sheep and the chickens. How many chickens are there? 
Math
A farmer has only pigs and chickens. When she stands on her porch and surveys her stock, she sees 22 heads and 52 legs. How many chickens does she have and how many pigs? 
math
there are 63 animals. 2 are horses .there 5 more chickens than 3 times the pigs. there are 2 less chickens than half pigs times 7 
math
The ratio of cows to pigs to chickens on a farm was 15:14:12. Half of the chickens were sold to another farm, and then there were 56 more pigs than chickens. How many animals were on the farm in the beginning?