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


Click to see all the steps



the price of one senior citizen ticket was $15 and the price of one student ticket was $13.