Question

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.

Answer 1

The inequality that represents the number of right answers (r) and wrong answers (w) Olga can give to win the contest is:  $3r-w>100$

Explanation

Number of right answers is  $r$ and number of wrong answers is  $w$

Olga earns 12 points for each right answer and loses 4 points for each wrong answer.

So, total points earned for $r$ right answers $=12r$

and total points lost for $w$ wrong answers $=4w$

That means, her score will be:  $(12r-4w)$ points.

In order to win the quiz contest, Olga must score more than 400 points. So, the inequality will be.......

$12r-4w>400\\ \\4(3r-w)>400\\ \\ 3r-w>100$