In a game a player gets 15 points for a correct answer and loses 10 points for an incorrect answer the expression 15c - 10 a represents the total C correct and an incorrect answers. How many points are scored for 24 correct and 11 incorrect

1 answer

To calculate the total points scored by the player based on the number of correct and incorrect answers, you can use the expression \(15c - 10a\), where \(c\) is the number of correct answers and \(a\) is the number of incorrect answers.

Given:

  • \(c = 24\) (correct answers)
  • \(a = 11\) (incorrect answers)

Substituting the values into the expression:

\[ \text{Total Points} = 15(24) - 10(11) \]

Calculating each part:

  1. Calculate \(15 \times 24\):

\[ 15 \times 24 = 360 \]

  1. Calculate \(10 \times 11\):

\[ 10 \times 11 = 110 \]

  1. Now, subtract the second result from the first:

\[ \text{Total Points} = 360 - 110 = 250 \]

Therefore, the player scored a total of 250 points.