SOLUTION: i need an example of a distance, a chemistry, and a "heads and legs" word problem and the answers. my teacher was talking about them and i didnt know what they were

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Question 408217: i need an example of a distance, a chemistry, and a "heads and legs" word problem and the answers. my teacher was talking about them and i didnt know what they were
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
A heads and legs problem:
A farmer has chickens and cows. He counts 40 heads and 86 legs
How many chickens and cows does he have?
Let c = number of chickens
Let m = number of cows
-------------------------
given:
(1) c+%2B+m+=+40 (all have just 1 head)
(2) 2c+%2B+4m+=+86
----------------
This is 2 equations and 2 unknowns, so it's solvable
from (2):
c+%2B+2m+=+43
c+=+43+-+2m
By substitution:
43+-+2m+%2B+m+=+40
m+=+3
and
c+%2B+m+=+40
c+=+40+-+3
c+=+37
There are 3 cows and 37 chickens
Check answer:
(2) 2c+%2B+4m+=+86
2%2A37+%2B+4%2A3+=+86
74+%2B+12+=+86
86+=+86
OK