High School

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The school that Arjun attends is selling tickets to the annual dance competition.

On the first day of ticket sales, the school sold 7 senior tickets and 1 student ticket for a total of $101.

On the second day, the school took in $134 by selling 7 senior tickets and 12 student tickets.

Find the price of a senior ticket and a student ticket.

Answer :

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

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Rewritten by : Barada