Two hundred tickets for the school play were sold. tickets cost $2 for students and $3 for adults. the total amount collected was $490. how many student tickets were sold

A system of equations is good for a problem like this.

Let x be the number of student tickets sold

Let y be the number of adult tickets sold

x + y = 200

2x + 3y = 490

x = 200 - y

2 (200 - y) + 3y = 490

400 - 2y + 3y = 490

400 + y = 490

y = 90

The number of adult tickets sold was 90.

x + 90 = 200 - - > x = 110

2x + 3 (90) = 490 - - > 2x + 270 = 490 - - > 2x = 220 - - > x = 110

The number student tickets sold was 110.