Answer:
If a = the number of adult tickets sold, then (a + 20) = the number of student tickets sold
a + (a + 20) = 240
2a + 20 = 240
2a = 220
a = 110
There were 110 adult and 110 + 20 = 130 student tickets sold
Step-by-step explanation:
The number of student tickets sold is [tex]38[/tex] and the number of adult tickets sold is [tex]65[/tex].
Price of student's ticket [tex]=[/tex] $[tex]7[/tex].
Price of adult's ticket [tex]=[/tex] $[tex]9.50[/tex].
Let the number of student's tickets sold be [tex]x[/tex].
Then the number of adult's tickets sold be [tex]27+x[/tex].
Total revenue [tex]=[/tex] $ [tex]883.50[/tex]
[tex]7 \times x + 9.50 (27 + x) = 883.50[/tex]
[tex]7x + 256.50 + 9.50x = 883.50[/tex]
[tex]16.50 x = 883.50 - 256.50[/tex]
[tex]16.50 x = 627[/tex]
[tex]x = \frac{627}{16.50}[/tex]
[tex]x = 38.[/tex]
So, the number of student's tickets sold is [tex]38[/tex].
And, the number of adult's tickets sold be [tex]27+38 = 27+38=65[/tex].
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