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?

63 student tickets and 38 adult tickets were sold

Step-by-step explanation:

Mike sold raffle tickets for adults and students for the school football game.

Let x= number of student tickets sold

Let y= number of adult tickets sold

The raffle tickets were $3 for students and $7 for adults. This means x student tickets cost $3x and y adult tickets cost $7y

When Mike looked at how much he collected, he counted $455 and 101 ticket stubs. This means

3x + 7y = 455 - - - - - -1

x + y = 101

Substituting x = 101 - y into equation 1, it becomes

3(101 - y) + 7y = 455

303 -3y + 7y = 455

-3y +7y = 455 - 303

4y = 152

y = 152/4 = 38 tickets

x = 101 - y

x = 101 - 38

x = 63 tickets

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