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Answer :
Answer:
The price of each senior citizen ticket is $13.31 and that of each child ticket is $14.49.
Step-by-step explanation:
If the cost per single senior citizen ticket is x and the cost per single child ticket is y.
Now, 10 senior citizen tickets and 5 child tickets cost a total of $205.55.
Hence, 10x + 5y = 205.55 ....... (1)
⇒ 20x + 10y = 411.1 ....... (2)
And 4 senior citizen tickets and 13 child tickets for a total of $241.61.
Hence, 4x + 13y = 241.61 ........ (3)
⇒ 20x + 65y = 1208.05 ......... (4)
So, from equations (2) and (4) we get,
55y = 796.95
⇒ y = 14.49
And, from equation (1), we get
10x + 5(14.49) = 205.55
⇒ 10x = 133.1
⇒ x = 13.31
Therefore, the price of each senior citizen ticket is $13.31 and that of each child ticket is $14.49. (Answer)
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