Question

3

The school that Willie goes to is selling tickets to the annual talent show. On the first day of
ticket sales the school sold 12 senior citizen tickets and 5 child tickets for a total of $102. The
school took in $156 on the second day by selling 14 senior citizen tickets and 12 child tickets.
Find the price of a senior citizen ticket.
A $6
B $7
C$10
D $4

Answer 1

Answer: A $6

Explanation:

Let x = price per child ticket, y= price per senior ticket.

As per given, we have

5x+12y=102 (i)

12x+14y=156 (ii)

From (i), we have

`x=(102-12y)/(5)` (iii)

Put value of x in (ii), we get

`12((102-12y)/(5))+14y=156\\\\\\ (1224-74y)/(5)=156\\\\\\1224-74y=5*156\\\\\\ 1224-74y=780\\\\\\ 74y=1224-780\\\\\\ 74y=444\\\\ y=(444)/(74)\\\\\\ y=6`

Hence, the price of senior ticket = $6

Thus the correct option is A.