400 adults and 200 children go to a Broadway show. The price of an adult ticket is twice that of a child's ticket. What is the price of an adult ticket if the total amount collected is $16,000?
Use reasoning to answer the following question.
32
Let X be the price of a child ticket.

So the price of an adult ticket is X * 2.

We know from the problem that 400 * X * 2 + 200 * X = 16,000.

After multiplying, we have 800 * X + 200 * X = 16,000.

Combining like terms, we have 1000 * X = 16,000.

Dividing both sides by 1000, we have X = $16.

The price of an adult ticket is $16 * 2 = $32.

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Final answer: 32