Question

1) The school that Lisa goes to is selling tickets to the annual talent show. On the first day of ticket sales the school sold 4 senior citizen tickets and 5 student tickets for a total of $102. The school took in $126 on the second day by selling 7 senior citizen tickets and 5 student tickets. What is the price each of one senior citizen ticket and one student ticket?

Answer 1

a - price of the senior citizen ticket
b - price of the student ticket
{4a+5b=102
{7a+5b=126
3a=24 → a=8
5b=102-32
5b=70
b=14
price of the senior citizen ticket is $8
price of the student ticket is $14