Number of incorrect answers Rashida got = 12
Number of correct answers Rashida got = 18
Given :-
Points for each correct answer =
[tex] = 2 \frac{1}{4} [/tex]
Points for each incorrect answer =
[tex] = \frac{ - 1}{ \: \: \: 2} [/tex]
Points Rashida will get for her correct answers :-
[tex] = 2 \frac{1}{4} \times 18[/tex]
[tex] = \frac{(4 \times 2+ 1)}{4} \times 18[/tex]
[tex] = \frac{9}{4} \times 18[/tex]
[tex] = \frac{162}{4} [/tex]
[tex] = 40.5 \: points[/tex]
Points Rashida will get for her incorrect answer :-
[tex] = \frac{ - 1}{ \: \: \:2} \times 12[/tex]
[tex] = \frac{ - 12}{ \: \: \: \: \: 2} [/tex]
[tex] = - 6 \: points[/tex]
So , Rashida gets 40.5 points for her correct answer and -6 points for her incorrect answer .
Rashida's total score :-
[tex] = 40.5 + ( - 6)[/tex]
[tex] = 34.5 \: points[/tex]
Therefore , Rashida gets 34.5 points as her total score .
