In a television game show, there are five questions to answer. Each questin is worth twie as much as the previous question. If the last question was worth $64000, what was the first question worth?
4th question: 64,000 / 2 = 32,000
3rd question: 32,000 / 2 = ?
2nd question: ?
1st question: ?
2nd $1600
1st $800
Nope.
The fifth question is worth $64,000.
The fourth question is worth $32,000
For the third question -- 32,000 divided by 2 is not 1600.
2nd 16,000
1st 8,000
No.
The third question is $16,000.
What are the second and first questions worth?
2nd 8000
1st 4000
Yay! You've got it. You're right.
thank you
You're welcome.
To find the value of the first question, we can work backwards by dividing the value of the last question ($64,000) in each step.
Let's denote the value of the first question as "x". We know that the second question is worth twice as much as the first question. Therefore, the second question would be worth 2x.
Following the same logic, the third question would be worth twice as much as the second question, which is 2 * (2x) = 4x.
Similarly, the fourth question would be worth 2 * (4x) = 8x, and the fifth question would be worth 2 * (8x) = 16x.
Given that the value of the last question is $64,000, we can set up the following equation:
16x = $64,000
To solve for x, we divide both sides of the equation by 16:
x = $64,000 / 16
Simplifying:
x = $4,000
Therefore, the value of the first question was $4,000.