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

Answer:

The number of student tickets was $57$

The number of general admission tickets was $68$

Step-by-step 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

$x=125-68=57$