Question

Tickets for a theme park were sold at $83 and $117. All the tickets were completely sold out. The amount collected for the $117 tickets was $80145. Given that the number of $117 tickets was 1/7 of the number of $83 tickets, how much more money was collected from the sales of the $83 ticket than the $117 ticket?

Answer 1

number of expensive tickets ---- x
number of "cheap" tickets = 7x

117x + 83(7x) = 80145
698x = 80145
x = 114.82...
but x has to be a whole number

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