Let X be the value of the first question.
The second question is worth 2*X.
The third question is worth 2*2*X=4*X.
The fourth question is worth 2*4*X=8*X.
The total value of answering all questions is X+2*X+4*X+8*X+1600=15*X+1600.
The total value is $4,000.
15*X+1600=$4000
15*X=$4000-1600=2400
15*X=2400
X=2400/15
X=$<<160>>160. Answer: \boxed{160}.
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 $1,600. How much is the first question worth?
1 answer
1 answer