Question

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket.

Answer 1

Answer: the price of a senior citizen's ticket is $8.

the price of a child's ticket is $14

Step-by-step explanation:

Let x represent the price of a senior citizen's ticket.

Let y represent the price of a child's ticket.

On the first day of ticket sales, the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. It means that

3x + y = 38- - - - - - - - - - - -1

The school took in $52 on the second day by selling 3 senior citizen and 2 child tickets. It means that

3x + 2y = 52- - - - - - - - - - - -2

Subtracting equation 2 from equation 1, it becomes

- y = - 14

y = 14

Substituting y = 14 into equation 1, it becomes

3x + 14 = 38

3x = 38 - 14 = 24

x = 24/3

x = 8