Question

Tickets for a high school football game cost $2 for students and $3 for general admission. 195

vere sold and $5035 was collected. How many of each type of tickets was sold?​

Answer 1

The number of tickets for students sold was 836 and the number of tickets for general admission sold was 1,121

Explanation:

The correct question is

Tickets for a high school football game cost $2 for students and $3 for general admission. 1,957 tickets were sold and $5,035 was collected. How many of each type of tickets was sold?​

Let

x ----> number of tickets for students sold

y ----> number of tickets for general admission sold

we know that

`x+y=1,957` ---->
`x=1,957-y` ----> equation A

`2x+3y=5,035` ----> equation B

Solve the system by substitution

substitute equation A in equation B

`2(1,957-y)+3y=5,035`

solve for y

`3,914-2y+3y=5,035`

`-2y+3y=5,035-3,914`

`y=1,121`

Find the value of x

`x=1,957-y` ---->
`x=1,957-1,121=836`

therefore

The number of tickets for students sold was 836 and the number of tickets for general admission sold was 1,121