Question

In a academic contest, correct answers earn 12 points and incorrect answers lose 5 points. In the final round, school A starts with 165 points and gives the same number of correct and incorrect answers. School b starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. The game ends with the 2 schools as a tie

Answer 1

20

Explanation:

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 gives the same number of correct and incorrect answered. School B starts with 65 points and gives no incorrect answers and the same number of correct answers as school A. How many answers did each school get in the final round?

Let x = number correct answers

because school a , gives the same correct and wrong answers, their equation can be represented as :

165 - 5x + 12x =

165 + 7x

School b gives no wrong answer. their equation can be represented as

65 + 12x

to fing the number of correct answers given, equate the two equations

165 + 7x = 65 + 12x

collect like terms

165 - 65 = 12x - 7x

100 = 5x

x = 20