We appreciate your visit to Kayla s school is selling tickets to a play On the first day of ticket sales the school sold 5 senior citizen tickets and 3. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!
Answer :
Answer:
Senior Citizen Tickets Cost = $9
Child Tickets Cost = $8
Step-by-step explanation:
Let price of senior ticket be "s", and
price of child ticket be "c"
5 senior ticket and 3 child ticket cost 69, so we can write:
[tex]5s+3c=69[/tex]
Also, 1 senior and 8 child tickets cost 73, thus we can write:
[tex]s+8c=73[/tex]
Or
[tex]s=73-8c[/tex]
We can put this into 1st equation and get an equation in terms of "c" and solve for c first:
[tex]5s+3c=69\\5(73-8c)+3c=69\\365-40c+3c=69\\296=37c\\c=8[/tex]
Thus, c = 8
Now,
s = 73 - 8c
s = 73 - 8(8)
s = 73 - 64
s = 9
So,
Senior Citizen Tickets Cost = $9
Child Tickets Cost = $8
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