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.
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