The Paper

Topics: Arithmetic, Week-day names, Elementary arithmetic Pages: 2 (602 words) Published: April 16, 2014
Application Activity: Tickets to the Show

This week, from Sunday through Friday, the local theater sold adult and student tickets to their current play. The person in charge of selling the tickets kept a record of the number of adult and student tickets sold on each day. However, the person forgot which day the tickets were actually sold. The number of adult tickets sold (three, twenty-five, nineteen, sixteen, fourteen, and thirty tickets) and the number of student tickets sold (twelve, thirty-four, sixteen, twenty-four, forty, and fourteen) are known and the following information is also known:

The student seats sold on Monday must be split up into groups that are all the same size. 

If the minimum group size is three people and the maximum group size is nine people, then based on the number of tickets sold on Monday only two different group sizes were used. An even number of adult tickets and an even number of student tickets were sold on Sunday. An odd number of adult tickets and an even number of student tickets were sold on Monday. The greatest common factor of the number of student seats sold on Tuesday and Sunday is four. An even number of adult tickets and an even number of student tickets were sold on Wednesday. The greatest common factor of the number of student seats sold on Sunday and Friday is two. The greatest common factor of the number of student seats sold on Friday and Monday is two. On Friday, the number of student tickets sold was not fourteen. The least common multiple of the number of adult seats sold on Sunday and Thursday is one hundred twelve. The student seats sold on Sunday must be split up into groups that are all the same size.  If the minimum group size is two people and the maximum group size is eight people, then based on the number of tickets sold on Sunday only four different group sizes were used. On the day that thirty adult tickets were sold, the sum of the student and adult tickets sold is a multiple of four. The...
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