SOLUTION: there are some chickens and goats on a farm. huxian counted 45 heads while lixin counted 150 legs. how many more goats than chicken are there.

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Question 1130503: there are some chickens and goats on a farm. huxian counted 45 heads while lixin counted 150 legs. how many more goats than chicken are there.
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Let +a+ = the number of goats
Let +b+ = the number of chickens
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(1) +a+%2B+b+=+45+
(2) +4a+%2B+2b+=+150+
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(2) +2a+%2B+b+=+75+
Subtract (1) from (2)
+a+=+30+
and
(1) +30+%2B+b+=+45+
(1) +b+=+15+
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There are 30 goats and 15 chickens
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check:
(2) +4%2A30+%2B+2%2A15+=+150+
(2) +120+%2B+30+=+150+
(2) +150+=+150+
OK