Question

In an academic contest, correct answers earn 12 points and incorrect answers lose 5 points. In the final round, School A starts with 165 points and given the same number of correct and incorrect answers. School B starts with 65 points and given no incorrect answers and the same number of correct answers as School A. The game ends with the Schools tied.

Part A: Which equation models the scoring in the final round and the outcome of the contest?
A.) 12x + 5x - 165 = -12x + 65
B.) 12x - 5x + 165 = 12x + 65
C.) 5x - 12x + 165 = 12x + 65
D.) 12x - 5x - 165 = 12x +65

Part B: How many answers did each school get correct in the final round?

Answer 1

part a is b part b is 230 tell me if im wrong

Explanation:

Answer 2

Explanation:

Let x represent the number of correct answers School A gave.

Then x is also the number of incorrect answers School A gave and the number of correct answers School B gave.

Final score of School A

= 165 + 12x - 5x.

Final score of School B

= 65 + 12x

Hence the correct equation is

12x - 5x + 165 = 12x + 65. (B)

=> 7x + 165 = 12x + 65

=> 5x = 100

=> x = 20

Hence Schools A and B got 20 correct answers each.