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

Question

Mathematics

Wags

12 February, 23:30

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

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Answers (1)

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Joseph Mcintyre · 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