Tickets to a show cost different for seniors, children, and adults. Adult tickets are twice as much as senior tickets. Two senior tickets plus one children’s ticket cost $17. Two children tickets plus one adult ticket cost $24. How much would it cost to buy one adult ticket and one senior ticket?

a = 2s
c + 2s = 17 .....c + a = 17 (I subbed in "a" for 2s)
2c + a = 24

c + a = 17 .....(-1)
2c + a = 24
---------------
-c -a = -17...result of multiplying by -1
2c + a = 24
---------------add
c = 7

2c + a = 24
2(7) + a = 24
14 + a = 24
a = 24 - 14
a = 10

a = 2s
10 = 2s
10/2 = s
5 = s

so, senior tickets (s) cost $ 5, adult tickets (a) cost $ 10, and child tickets (c) cost $ 7

1 adult ticket + 1 senior ticket would cost $ 15

Answer Link

yoodyannapolis yoodyannapolis · Answer 2 · 2021-10-02T13:14:26+02:00

The senior tickets (z) cost $ 5, adult tickets (y) cost $ 10, and child tickets (x) cost $ 7.

It cost $15 to buy one adult ticket and one senior ticket.

Let the cost of the children, adults and seniors ticket be $x, $y and $z respectively. Then according to question

[tex]y= 2z ...(1)\\x+ 2z = 17 \\x + y = 17...(2)[/tex] [ By substituting [tex]2z=y[/tex]]

[tex]2x + y= 24 ...(3)[/tex]

Subtracting equation (2) and (3), we get

[tex]x=7[/tex]

Put [tex]x=7[/tex] in (2), we get

[tex]y=17-7\\y=10[/tex]

Put [tex]y=10[/tex] in (1), we get

[tex]10=2z\\z=5[/tex]

Therefore, senior tickets (z) cost $ 5, adult tickets (y) cost $ 10, and child tickets (x) cost $ 7.

Now, cost of 1 adult ticket + 1 senior ticket

[tex]=10+5\\=15[/tex]dollar

Learn more:https://brainly.com/question/2321846