de Sean it in school is selling tickets to a choral performance. on the first day of ticket selling the school sold eight senior citizen tickets and 12 students tickets for a total of $160. The school took in 115 on the second day by selling 11 senior citizen tickets and six student tickets. find the price of a senior cytisine take it in the price of a student ticket.

Answer 1

price of senior ticket --- x
price of student tickets -- y

day 1:
8x + 12y = 160

day 2:
11x + 6y = 115

day 1 equation ÷ 2
4x + 6y = 80

subtract from day 2 equation:

11x + 6y = 115
4x + 6y = 80
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7x = 35
x = 5

back in 4x+6y = 80
20 + 6y = 80
6y = 60
y =10

Seniors cost $5.00 and students cost $10.00