Answer:
[tex]Points = 17\ Points[/tex]
[tex]Points = (20 - x)\ points[/tex]
Step-by-step explanation:
Given
[tex]Questions = 20[/tex]
[tex]Points = 1[/tex]
Solving (a): 3 questions wrong
First, we need to determine the total possible points
[tex]Total = Questions * Points[/tex]
[tex]Total = 20 * 1\ point[/tex]
[tex]Total = 20\ points[/tex] --- (1)
Next, is to determine the points of 3 questions
[tex]3\ Questions = 3 * 1\ Point[/tex]
[tex]3\ Questions = 3\ Points[/tex] --- (2)
Subtract (2) from (1)
[tex]Points = 20 - 3[/tex]
[tex]Points = 17\ Points[/tex]
Her test score is 17 points
Solving (b): x questions wrong
[tex]x\ questions = x * 1\ point[/tex]
[tex]x\ questions = x\ points[/tex] --- (3)
Subtract (3) from (1)
[tex]Points = (20 - x)\ points[/tex]
Her points would be 20 - x points