3 dollars for students 5 dollars for adults 937 tickets sold 3943 dollars collected how many tickets were sold to students and adults

Question

Tickets for a high school's play cost $3.00 for students and $5.00 for adults. On opening night, 937 tickets were sold and $3943.00 was collected. How many tickets were sold to students and adults.

Answer 1

Let s=students, and a=adults

 

For total tickets sold:

 

s+a=937

 

For total money sales:

 

3s+5a=3943

 

Multiply tickets sold by 3 to eliminate the student variable from the system of equations to get

 

(3s+5a=3943)-(3s+3a=2811)

 

or

 

 

2a=1132

 

a=566=the number of adult tickets sold

 

s=937-566=371 = the number of student tickets sold.