High School

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

On the first day of ticket sales, the school sold 14 senior citizen tickets and 14 child tickets for a total of $252.

On the second day, the school took in $154 by selling 9 senior citizen tickets and 7 child tickets.

Find the price of a senior citizen ticket and the price of a child ticket.

Answer :

The ticket price of

A Senior citizen = $14

A Child = $4

First day of ticket sales :

Senior citizen tickets (s) = 14

Child tickets (c) = 14

Total price of both tickets = $252

14s + 14c = 252 eq. (1)

Second day of ticket sales :

Senior citizen tickets (s) = 9

Child tickets (c) = 7

Total price of both tickets = $154

9s + 7c = 154 eq. (2)

Multiplying equation 2 with 2, we get

18s + 14c = 308 eq. (3)

Now, we will subtract eq. (1) from eq. (3)

18s + 14c = 308 eq. (3)

-14s - 14c = -252 eq. (1)

____________________

4s = 56

s = 56/4

s = 14

We get the ticket price of one senior citizen which is 14 Dollars.

Now, we will put s = 14 in eq. 2,

So, 9s + 7c = 154

(9×14) + 7c = 154

7c = 154 - 126

c = 28 / 7

c = 4

Ticket price of one child is 4 Dollars.

Hence, the ticket price of a senior citizen and a child is $14 and $4, respectively.

To learn more about Ticket Price visit :

https://brainly.com/question/14055133

#SPJ9

Other Questions