Question

For the school play, the advance tickets cost $3, while tickets at the door cost $5. Thirty more tickets were sold at the door than in advance, and $2630 was collected. How many of each kind of ticket were sold?

Answer 1

`x-number\ of \ tickets\\x+30-number\ of\ tickets\ at\ the\ door\\\\3x+5(x+30)=2630\\3x+5x+150=2630\\3x+5x=2630-150\\8x=2480\ \ \ \ \ |:8\\x=310\\\\310+30=340\\\\Advance\ tickets\ were\ 310\ and\ other\ tickets\ were\ 340.`