In a contest, each finalist must answer 5 questions correctly. each question is worth twice as much as the question before it. the fifth question is worth $1600. how much is the first quesiton worth?

The first question worth $100

Step-by-step explanation:

Let's call the worth of the first, second, third, fourth and fifth question respectively.

From the question, we know that each question is worth twice as much as the question before it and the fifth question worth $1600. We can write that as:

If we replace the values of as following:

Then, we can find the value of as: