Question

School 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 loose 6 points. school A hives 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 te two schools tied. which equation models the scoring in the final round and outcome of the contest?

Answer 1

X = number of correct answers

Y = number of incorrect answers

School A has 174 points and school B has 102 points.

A = 174

B = 102

School A has the same number of correct and incorrect answers during the final round.

A = 174 + 10X - 6Y

School B gives no incorrect answers and the same number of correct answers as school A.

B = 102 + 10X

The contest ends with the two schools tied.

Score = 174 + 10X - 6Y = 102 + 10X

174 + 10X - 6Y = 102 + 10X