Question
On a quiz show, a contestant loses $12.50 in prize money for each wrong answer. One contestant has answered no questions right and 6 questions wrong. What is his balance of prize money
Answers
GPT-4o mini
To find the contestant's balance of prize money, we can start by calculating the total amount lost due to the 6 wrong answers.
The contestant loses $12.50 for each wrong answer. Since he answered 6 questions wrong:
\[
\text{Total loss} = \text{Number of wrong answers} \times \text{Loss per wrong answer}
\]
\[
\text{Total loss} = 6 \times 12.50
\]
Calculating that:
\[
\text{Total loss} = 75
\]
Since the contestant has answered no questions correctly, his balance of prize money is:
\[
\text{Balance} = 0 - \text{Total loss}
\]
\[
\text{Balance} = 0 - 75 = -75
\]
Thus, the contestant's balance of prize money is \(-\$75.00\).
The contestant loses $12.50 for each wrong answer. Since he answered 6 questions wrong:
\[
\text{Total loss} = \text{Number of wrong answers} \times \text{Loss per wrong answer}
\]
\[
\text{Total loss} = 6 \times 12.50
\]
Calculating that:
\[
\text{Total loss} = 75
\]
Since the contestant has answered no questions correctly, his balance of prize money is:
\[
\text{Balance} = 0 - \text{Total loss}
\]
\[
\text{Balance} = 0 - 75 = -75
\]
Thus, the contestant's balance of prize money is \(-\$75.00\).