Answer:
9x - 2x + 62 = 9x + 24
Number of correct answer each obtained = 19
Step-by-step explanation:
Given that:
Number of correct answers = x
POINTS for correct answers = 9
POINTS for incorrect answers = - 2
SCHOOL A:
Number of correct answers = x
Number of incorrect answers = x
Initial point = 62
Initial point + 9(number of correct answers) + - 2(number of incorrect answers)
62 + 9x - 2x
SCHOOL B :
Number of correct answers = x
Number of incorrect answers = 0
Initial point = 24
Initial point + 9(number of correct answers) + - 2(number of incorrect answers
24 + 9x
Since they end up tied :
School A = School B
62 + 9x - 2x = 24 + 9x
9x - 2x + 62 = 9x + 24
Number of correct answers gotten :
9x - 2x + 62 = 9x + 24
7x + 62 = 9x + 24
7x - 9x = 24 - 62
-2x = - 38
x = 19
Hence, Number of correct answers each obtained = 19
