System of Equations.

Question

Your school sells tickets for its winter concert. Student tickets are $5 and adult tickets are $10. If your school sells 85 tickets and makes $600, how many of each ticket did they sell?

Answer 1

S + A = 85 --> A = 85 - S

5S + 10A = 600

 

5S + 10(85 - S) = 600

 

5S + 850 - 10S = 600

 

850 - 5S = 600

 

-5S = -250

S=50

 

50 student tix; 35 adult tix