Problema Solution

For a special event, tickets to a Timbers game cost $11 for Timbers fans and $17 for fans of the visiting team. In total 17,543 tickets were purchased and $211,039 was collected. How many tickets were purchased by Timbers fans and how many tickets were purchased by fans of the visiting team?

Answer provided by our tutors

let


t = the number of tickets purchased by Timber fans

v = the number of tickets purchased by vising team fans


in total 17,543 tickets were purchased


t + v = 17543


$211,039 was collected


11t + 17v = 211039


by solving the system of equations


t + v = 17543

11t + 17v = 211039


we find


t = 14,532 Timber fans tickets


v = 3,011 visiting team fans tickets


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