Answer
6 tickets were purchased.
Work Step by Step
We know that:
Total = $\$220.70$
$t=\$32.5$
"Convenience" is $c=\$3.30$ per t
Processing $\$5.90$ per transaction.
Set up equation:
$\$32.5t +\$3.30t +\$5.90=\$220.70 $
Subtract $\$5.90$ from each side
$\$32.5t +\$3.30t=\$214.8$
Combine like terms
$\$35.80t=\$214.8$
Divide both sides by $\$35.8$ to isolate the variable
$t=6$
