Question

A theater received $8,917 in ticket sales for one performance of a play. Tickets for preferred seats coast $45 each and regular seats coast $34 each. All of the theaters 75 preferred seats were sold out that evening. How many tickets were sold?

Answer 1

p=preferred seats
r=regular seats
45*p+34*r=8917
p=75
45*75+34r=8917
3375+34r=8917
34r=5542
r=163

All ticket sales=r+p=75+163=238