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In Mathematics / Middle School | 2014-11-12

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 question worth?

Asked by chili

Answer (3)

you must divide 1600 by 2 five times to get 1600/2=800, 800/2=400, 400/2=200, 200/2=100, and finally 10/2=50, so the first question is worth $50

Answered by 2019327 | 2024-06-10

The first question worth $100 ;

Answered by mariacsinning | 2024-06-12

The first question is worth $100. This is determined by calculating backwards from the fifth question's value of $1600, where each preceding question is worth half of the following one. The values calculated sequentially lead to the conclusion that X 1 ​ = 100 .
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Answered by mariacsinning | 2024-10-01