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 317391: 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
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The calorie - nutrient information for an apple and an avocado is given in the table. How many of each should be eaten to get exactly 1000 calories and 100 grams of carbohydrates?
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Let represent the number of Jack characters and let represent the number of John characters. Then from the data given we can write:
Solve the system for
Hint: Multiply the first equation by 2 and solve by elimination.
