High School

Jasmine's school is selling tickets to a choral performance.

On the first day of ticket sales, the school sold 11 senior tickets and 4 child tickets for a total of $123. On the second day, the school took in $21 by selling 1 senior citizen ticket and 2 child tickets.

What is the price of one senior citizen ticket and one child ticket?

Options:

A. Senior Citizen Ticket: $5, Child Ticket: $7
B. Senior Citizen Ticket: $9, Child Ticket: $6
C. Senior Citizen Ticket: $6, Child Ticket: $9
D. Senior Citizen Ticket: $7, Child Ticket: $2

Answer :

If we make s = Senior tickets,

11s+1s

to find the values of c and s,w

If we express s in terms of c on t

s=21-2c

replacing this value on the first equation, we obtain

[tex]11(21-2c)+4c=123\\11.21-22c+4c=123\\231-18c=123\\231=123+18c\\231-123=18c\\108=18c\\c=\frac{108}{18} \\c=6[/tex]

Placing c=6 on s=21-2c, we have

[tex]s=21-2(6)\\s=21-12\\s=9[/tex]

Thus the senior ticket costs $9 and the child ticket cost $6

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