The school sold 300 tickets to the theatre performance. They sold adult tickets for $9 each and student tickets for $6 each. They made a total of $2, 190. How many students were in attendance? PLEASE HELP! I need to show work

170 students were attending

Step-by-step explanation:

use a system of equations:

let x be the adults and y be the students

   multiply the top equation by -9 and add the two systems together to cancel out x. you are then left with:

divide both sides by -3 to leave y alone:

that would leave you with:

y=170

the answer is 0052

0 0 5 2

5 0 2 6 3 5

− 0

2 6

− 0

2 6 3

− 2 5 0

1 3 5

− 1 0 0

3 5

a and c

for infinitely many solutions we require both left and right sides to be equal

distribute and simplify

a

14 - 8x = 20 - 8x - 6 = 14 - 8x ← both sides equal so infinite solutions

b

6x - 54 = 6x - 54 + x = 7x - 54 ← not equal

c

4x + 16 = 4x + 10 + 6 = 4x + 16 ← both sides equal so infinite solutions

d

5x - 40 + 10 = 5x + 10

5x - 30 = 5x + 10 ← not equal