Question

125 tickets were sold for the jazz band concert for a total of $1,022. Student tickets cost $6 each, and general admission tickets cost $10 each. How many of each kind of ticket were sold?

Answer 1

The number of student tickets was
`57`

The number of general admission tickets was
`68`

Explanation:

Let

x----> the number of student tickets

y---> the number of general admission tickets

we know that

`x+y=125`

`x=125-y` ---> equation A

`6x+10y=1,022` ----> equation B

Substitute equation A in equation B and solve for y

`6(125-y)+10y=1,022`

`750-6y+10y=1,022`

`4y=1,022-750`

`4y=272`

`y=68`

Find the value of x

`x=125-68=57`