SOLUTION: Simon Rose surveyed feature films released from 1983 through 1993, listing the most common names of movie characters. The list is shown here, but the number of characters with the

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Question 347089: Simon Rose surveyed feature films released from 1983 through 1993, listing the most common names of movie characters. The list is shown here, but the number of characters with the names Jack and John is omitted. Combined, there were 230 movie characters with these names. Taking triple the number of Jack characters and subtracting double the number of John characters gives 16 less than triple the number of George characters. How many movie characters had the names Jack and John from 1983 through 1993?

Name Characters
Jack ?
John ?
Frank 87
Harry 72
David 63
George 62
Michael 59
Tom 59
Mary 54
Paul 53
Answer by solver91311(24713) About Me  (Show Source):
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Let represent the number of Jack characters. Let represent the number of John characters. 16 less than 3 times the number of George characters is:

So:





Solve the system for

John

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