In a math competition, contestants receive 8+ points for every correct answer and -5 for every incorrect answer. Boris has 23 correct answers and 5 incorrect answers; bridget has 32 correct answers and 19 incorrect. Who has the higher score?
(23 * 8) - (5 * 5) =
(32 * 8) - (5 * 19) =
To determine who has the higher score, we need to calculate the scores for Boris and Bridget separately and compare them.
For Boris:
Boris gets 8+ points for every correct answer, so we multiply the number of correct answers (23) by 8:
Boris' score for correct answers = 23 * 8 = 184 points
Boris also gets -5 points for every incorrect answer, so we multiply the number of incorrect answers (5) by -5:
Boris' score for incorrect answers = 5 * (-5) = -25 points
To calculate Boris' total score, we add his score for correct answers and his score for incorrect answers:
Boris' total score = 184 + (-25) = 159 points
For Bridget:
Bridget also gets 8+ points for every correct answer, so we multiply the number of correct answers (32) by 8:
Bridget's score for correct answers = 32 * 8 = 256 points
Bridget gets -5 points for every incorrect answer, so we multiply the number of incorrect answers (19) by -5:
Bridget's score for incorrect answers = 19 * (-5) = -95 points
To calculate Bridget's total score, we add her score for correct answers and her score for incorrect answers:
Bridget's total score = 256 + (-95) = 161 points
Comparing the total scores, we can see that Bridget has the higher score with 161 points, while Boris has 159 points. Therefore, Bridget has the higher score in the math competition.