Question

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

Answer 1

170 students were attending

Explanation:

use a system of equations:

`\left \{ {{x+y=300} \atop {9x+6y=2190}} \right.`

let x be the adults and y be the students

`\left \{ {{-9(x+y=300)} \atop {9x+6y=2190}} \right.` multiply the top equation by -9 and add the two systems together to cancel out x. you are then left with:

`-3y=-510`

divide both sides by -3 to leave y alone:

`(-3y)/(-3)=(-510)/(-3)`

that would leave you with:

y=170