Problema Solution
the school that aliyah goes to is selling tickets to a fall musical. on the first day of ticket sales the school sold 13 seniors citizens tickets and 8 student tickets for a total of $299. the school took in $214 on the second day by seling 3 citizens tickets and 3 student tickets. what is the price of each of one senior citizens tickets and one student tickets
Answer provided by our tutors
let
x = the price of one senior citizen ticket
y = the price of one student ticket
on the first day of ticket sales the school sold 13 seniors citizens tickets and 8 student tickets for a total of $2990
13x + 8y = 299
the school took in $214 on the second day by selling 3 citizens tickets and 13 student tickets
3x + 13y = 214
by solving the system of equations
13x + 8y = 299
3x + 13y = 214
we find
x = $15
y = $13
click here to see the step by step solution of the system of equations
the price of one senior citizen ticket was $15 and the price of one student ticket was $13.