Question

Schools A and B are competing in an academic contest. At the beginning of the final​ round, School A has 174 points and School B has 102 points. In the final​ round, correct answers earn 10 points and incorrect answers lose 6 points. School A gives the same number of correct and incorrect answers during the final round. School B gives no incorrect answers and the same number of correct answers as School A. The contest ends with a tie. Answer parts a and b.

Answer 1

Answer: C. 174 + 10x - 6x = 102 + 10x

Each school give 12 correct answers

Explanation:

174 + 10x - 6x = 102 + 10x

x = number of correct answers AND,

x = number of incorrect answers

Solve for x:

174 - 102 = 10x + 6x -10x

72 = 6x

x = 12

Each school give 12 correct answers