Answer:
He scored [tex]79\frac{1}{2}[/tex] points.
Step-by-step explanation:
Given:
Number of points for a correct answer = [tex]2\frac{1}{2}[/tex]
Number of points scored for an incorrect answer = [tex]-\frac{1}{4}[/tex]
Therefore, for 35 correct answers, points scored = [tex]35\times 2\frac{1}{2}=35\times \frac{5}{2}=\frac{175}{2}[/tex]
Now, for 32 incorrect answers, points scored = [tex]32\times -\frac{1}{4}=-\frac{32}{4}=-8[/tex]
Therefore, net number of points scored by Nathan is:
[tex]\frac{175}{2}-8=\frac{175}{2}-\frac{16}{2}=\frac{175-16}{2}=\frac{159}{2}=79\frac{1}{2}[/tex]
Therefore, Nathan scored [tex]79\frac{1}{2}[/tex] points.
