For the following exercise, create a system of linear equations to describe the behavior. Then, solve the system for all solutions using Cramer’s Rule.
62. Three bands performed at a concert venue. The first band charged $15 per ticket, the second band charged $45 per ticket, and the final band charged $22 per ticket. There were 510 tickets sold, for a total of $12,700. If the first band had 40 more audience members than the second band, how many tickets were sold for each band?
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