There were 300 people at a dance. tickets cost $5 for visitors and $3 for students. the total tickets sales were $1100. how many visitors and how many students attended the dance?

X-visitor
y-student
Total amount of people: x+y=300
The total tickets sales: $5*x+$3*y=$1100

x+y=300⇒x=300-y
5x+3y=1100

x=300-y
5*(300-y)+3y=1100⇒1500-5y+3y=1100⇒2y=400⇒y=200
x=300-200=100

100 visitors and 200 students attended the dance.