Question 1168980: I need help with this question and I have to turn it in by midnight. Please help!
Mark, Max, Matt, and Mitch were writing an essay for English class. Together their essays were 15,240 words. Matt wrote 20 more words than Max. Mark wrote twice as much as Matt. Mitch wrote 100 words less than Max. How many words did each of them have in their essay?
Found 2 solutions by Cromlix, Alan3354:
Answer by Cromlix(4381)   (Show Source):
You can put this solution on YOUR website! Hi there,
Make Max's no of words = x
Matt = x + 20
Mark = 2(x + 20)
Mitch = x - 100
Add them all up.
x + x + 20 + 2(x + 20) + x - 100 = 15,240
x + x + 20 + 2x + 40 + x - 100 = 15,240
Collect like terms and integers:
5x - 40 = 15,240
5x = 15,240 + 40
5x = 15,280
x = 3056 words
Max wrote 3056 words
Matt wrote 3076
Mark wrote 6152 words
Mitch wrote 2956 words.
Hope this helps :-)
Answer by Alan3354(69443)  (Show Source):
You can put this solution on YOUR website! Mark, Max, Matt, and Mitch were writing an essay for English class. Together their essays were 15,240 words. Matt wrote 20 more words than Max. Mark wrote twice as much as Matt. Mitch wrote 100 words less than Max. How many words did each of them have in their essay?
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Use a, b, c & d for Mark, Max, Matt, and Mitch respectively.
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c = b-20
a = 2c = 2b-40
d = b-100
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Add them.
a+b+c+d = 15240
(2b-40) + b + (b-20) + (b-100) = 15240
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