Question

Billy was playing a trivia game. According to the rules, Billy would receive 25 points for each question he answered correctly but would lose 50 points for each question he answered incorrectly. At the end of the game, Billy had a total of 450 points. He had 5 times as many questions correct as incorrect. If Billy answered every question, how many questions were asked in the game?

Answer 1

just add/subtract the points! If he had x incorrect, then he had 5x correct, so

5x*25 - 50x = 450

total questions: x+5x=6x