Q:

The school sold 300 tickets for a school play and collected a total of $1150. student tickets cost $3.00 and adult tickets cost $5.00 how many students attended the play?

Accepted Solution

A:
Answer: 175 students


Explanation:

x = number of student tickets.
y = number of adult tickets

║x + y = 300 
║3x + 5y = 1150

║3x + 3y = 900 
║3x + 5y = 1150

[ 3x + 5y = 1150 ] - [  3x + 3y = 900 ]

2y = 250
y = 125       <<<<<<<<<< We found y ¯\_(ツ)_/¯


Plug y = 125  into x + y = 300 

x + 125 = 300
x = 300 - 125
x = 175         <<<<<<<<<< We found x ¯\_(ツ)_/¯


The Wise Orange loves to watch school play too. Can you send a ticket to The Wise Orange?