SOLUTION: I need help coming up with a equation and solution to this problem: More than 20 and less than 50 people went to a concert. The price of each ticket was the same whole number of d

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Question 608360: I need help coming up with a equation and solution to this problem:
More than 20 and less than 50 people went to a concert. The price of each ticket was the same whole number of dollars, and the total cost was $377. How many dollars did each individual ticket cost?
Thanks,
David R

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


In order for the ticket price for all tickets to be the same whole number of dollars, the number of people who attended the concert must evenly divide $377. The prime factorization of 377 is 13 X 29. Only one of those factors is in the interval 20 < x < 50, namely 29. So 29 people went to the concert and the ticket price was $13.

John

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