Question

The school that Arjun goes to is selling tickets to the annual dance competition. On the first day of tickets sales the school sold 7 senior tickets and 1 student ticket for total of $101. The school took $134 on the second day by selling 7 senior citizens tickets n 12 student tickets. Find the price of the senior citizen ticket and a student ticket

Answer 1

x=number of senior tickets
y=number of student tickets

1st day
7x+1y=101

2nd day
7x+12y=134

easy, we can eliminate the x's

multiply first equation by -1

-7x-1y=-101
7x+12y=134 +
0x+11y=33

11y=33
divide by 11 both sides
y=3
sub back

7x+y=101
7x+3=101
minus 3 both sides
7x=98
divide both sides by 7
x=14

senior tickets cost $14
student tickets cost $3
that sounds unfair