In order to win a quiz contest, Olga must score more than 400 points. She earns 12 points for each right answer, and loses 4 points for each wrong answer.Write an inequality that represents the number of right answers (R) and wrong answers (W) Olga can give to win the contest.
Q. In order to win a quiz contest, Olga must score more than 400 points. She earns 12 points for each right answer, and loses 4 points for each wrong answer.Write an inequality that represents the number of right answers (R) and wrong answers (W) Olga can give to win the contest.
Identify Points: Identify the points Olga earns for each right answer and loses for each wrong answer.Olga earns 12 points for each right answer and loses 4 points for each wrong answer.
Set up Inequality: Set up an inequality to represent the total points Olga must score to win the contest.Olga must score more than 400 points to win the contest.
Translate to Algebraic Inequality: Translate the given information into an algebraic inequality.The total points Olga scores is the sum of the points from right answers minus the points lost from wrong answers. This total must be greater than 400.So, the inequality is 12R - 4W > 400.
Check Inequality: Check the inequality to ensure it represents the situation correctly.For each right answer, Olga's score increases by 12 points, and for each wrong answer, her score decreases by 4 points. The inequality 12R - 4W > 400 correctly represents the condition that Olga's score must be more than 400 points to win.
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