MATH SOLVE

2 months ago

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?

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?