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

1 answer

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 \(-$75.00\).