MATH SOLVE

5 months ago

Q:
# Mike was selling raffle tickets for the school football game. The raffle tickets were $3 for students and $7 for adults. When Mike looked at how much he collected, he counted $455 and 101 ticket stubs. How many student and adult tickets were sold?

Accepted Solution

A:

Answer: 63 student tickets and 38 adult tickets were soldStep-by-step explanation:Mike sold raffle tickets for adults and students for the school football game.Let x= number of student tickets soldLet y= number of adult tickets soldThe raffle tickets were $3 for students and $7 for adults. This means x student tickets cost $3x and y adult tickets cost $7yWhen Mike looked at how much he collected, he counted $455 and 101 ticket stubs. This means 3x + 7y = 455 - - - - - -1x + y = 101Substituting x = 101 - y into equation 1, it becomes3(101 - y) + 7y = 455303 -3y + 7y = 455-3y +7y = 455 - 3034y = 152y = 152/4 = 38 ticketsx = 101 - yx = 101 - 38x = 63 tickets