Question 526481
At the Halloween event there were 335 people in costume. There were 31 fewer vampires than witches and four times as many ghosts as all of the vampires and witches together. How many ghosts were there? 
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Equations:
v + w + g = 335
v = w-31
g = 4(v+w)
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Rearrange the equations:
v + w + g = 335
v - w + 0 = -31
4v+4w - g = 0
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I used a matrix method to get:
v = 18
w = 49
g = 268 (# of ghosts)
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Cheers,
Stan H.