An outdoor music pavilion charges 650 for adult tickets and

An outdoor music pavilion charges $6.50 for adult tickets and $3.00 for student tickets. When 125 tickets were sold, the pavilion made $550.00. How many student tickets were sold?

Solution

let x be the number of tickets for adults

\'y\' be the number of tickets for students

x+y =125

6.5x +3y = 550

now we have to solve these equations

3(x+y) = 3*125

now subtracting from equation2

3x+3y -6.5x -3y = 375 -550

-3.5x =-175

x =50

x+y =125

y = 125-50

y= 75

totally 75 student tickests are sold