Question

A school baseball team earned $3416.90 from selling 5716 tickets to their game. If grandstand tickets sold for 65 cents each and bleacher tickets sold for 40 cents each, how many of the bleacher tickets were sold? Answer: bleacher tickets

Answer 1

Let g and b represent the numbers of grandstand and bleacher tickets sold... g + b = 5716 . . . . . . . . . total number of tickets sold.. 65g +40b = 341690 . . value of tickets sold
Using the first equation.. g = 5716 -bSustituting into the second equation.. 65(5716 -b) +40b = 341690.. -25b + 371540 = 341690 . . . . . collect terms.. -25b = -29850 . . . . . . . . . . . . . . subtract 371540.. b = 1194 . . . . . . . . . . . . . . . . . . . . divide by -25