Question

DeShawn is selling tickets to a play. Adult tickets cost $13 each and student tickets cost $9 each. After one day of sales, DeShawn sold 23 tickets and took in a total of $271. How many student tickets did DeShawn sell?

Answer 1

The number of student's tickets sold was 7

Explanation:

Let

x ----> number of adult's tickets sold

y ----> number of student's tickets sold

we know that

`x+y=23` ---->
`x=23-y` ---> equation A

`13x+9y=271` ----> equation B

solve the system by substitution

substitute equation A in equation B

`13(23-y)+9y=271`

solve for y

`299-13y+9y=271`

`13y-9y=299-271`

`4y=28`

`y=7`

therefore

The number of student's tickets sold was 7