Question

Oscar is selling tickets to a school play. Adult tickets cost $8 and student tickets cost $7. If he collected $245 by selling 34 tickets, how many adult and student tickets did he sell?

Answer 1

Adult= 7 tickets

student= 27 tickets

Explanation:

Step one:

let adult tickets be x

and students be y

Adult tickets cost $8 and

student tickets cost $7

So

`8x+7y=245-----------1\\\\x+y=34-----------2`

Step two:

from equation 2

x=34-y

put the value of x in equation 1

`8(34-y)+7y=245\\\\272-8y+7y=245\\\\272-y=245\\\\-y=245-272\\\\-y=-27\\\\y=27`

put y= 27 in equation 1

`x+27=34\\\\x=34-27\\\\x=7`