Answer:
Equation:

Student ticket price = $14
Step-by-step explanation:
An adult ticket = $15
Let a student ticket = $x
An adult ticket is half the price of a student ticket plus $8, then an adult ticket

Equate the prices for the adult ticket:

Subtract 8 from both sides:

Multiply this equation by 2:

1956/(3+1)=489 adult tickets cost for all adults
1965-489= 1467 cost of child tickets
1467/5.30=276.8
277 child tickets were sold.
You can use a calculator, or use long division
Answer: The answer is (a) sec A = 11 over 3.
Step-by-step explanation: Given that Cosine of an angle 'A' is 3 over 11,
i.e.,

And we need to find which one of the given four options is correct.
We have the following relations between cosine, secant and cosecant of an angle from trigonometry.

Therefore,

and

Thus, the correct option is (a) sec A = 11 over 3.