SOLUTION: All purple aliens have four legs and all green aliens have 7 legs.There are a total of 436 legs and 97 heads. How many aliens of each color are there?

Question 122202: All purple aliens have four legs and all green aliens have 7 legs.There are a total of 436 legs and 97 heads. How many aliens of each color are there?
Answer by stanbon(75887) (Show Source): You can put this solution on YOUR website!
All purple aliens have four legs and all green aliens have 7 legs.There are a total of 436 legs and 97 heads. How many aliens of each color are there?
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Legs Equation: 4p + 7g = 436
Heads Equation : p + g = 97
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p = 97-g
Substitute to solve for g:
4(97-g)+7g = 436
388-4g+7g = 436
3g = 54
g = 18 (# of green aliens)
--------------------
Substitute into p = 97-g to solve for "p":
p = 97-18 = 79 (# of puple aliens)
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Cheers,
Stan H.
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