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Science-Related Homework Help Mathematics Topic started by: majarm on Nov 25, 2017



Title: The local amateur soccer club spent $1640 on tickets to a professional hockey game. If the club ...
Post by: majarm on Nov 25, 2017
The local amateur soccer club spent $1640 on tickets to a professional hockey game. If the club bought 2.5 times as many eight-dollar tickets than the number of twelve-dollar tickets and four fewer fifteen-dollar tickets than 7/10 the number of twelve dollar tickets, how many of each type of ticket did the club buy?


Title: Re: The local amateur soccer club spent $1640 on tickets to a professional hockey game. If the club ...
Post by: yacom on Nov 25, 2017
Let the number of $12 tickets be x.
Number of $8 tickets = 2.5x
Number of $15 tickets =  x - 4
Value of the $12 tickets = $12x
Value of the $8 tickets = $8(2.5x)
Value of the $15 tickets = $15( x - 4)
∴   12x + 8(2.5x) + 15 (7/10x - 4) = $1640
   12x + 20x + 10.5x - 60 = 1640
   42.5x = 1700
   x = 40
Sales were 40 $12 tickets, 100 $8 tickets, and 24 $15 tickets.