Question

Steve gets 4 points for every correct answer andlooses 1 point for every wrong answer. If heanswered 30 questions and scored 20 points,write a system of equations

Answer 1

The system of equations that represent the situation is:

r + w = 30

4r - w = 20

Step-by-step explanation:

Given that Steve answered 30 questions and scored 20 points, since 1 right answer is an addition of 4 points, and 1 wrong answer is a subtraction of 1 point.

Let 1 right answer be denoted by r, and 1 wrong answer be denoted by w.

The total number of questions is 30, so

r + w = 30

The subtraction of the points from wrong answers from the points from the right answers is 20. That is;

4r - 1w = 20