Answer:
60 questions
Step-by-step explanation:
We are asked to find 75% of 80 questions. This is the same thing as multiplying 75% by 80.
First, we can rewrite 75% as a decimal:
[tex]\rm AB.CD\% = 0.ABCD[/tex]
↓↓↓
75% = 0.75
Next, we can convert 0.75 to a fraction:
[tex]0.75=\dfrac{75}{100} \\ \\ \text{ }\ \ \ \ \,=\dfrac{3\cdot 5 \cdot 5}{4 \cdot 5 \cdot 5} \\ \\ \text{ }\ \ \ \ \, =\dfrac{3}{4}[/tex]
Finally, we can multiply it by 80:
[tex]\dfrac{3}{4} \cdot 80 \ =\ 3 \cdot \dfrac{80}{4}\ =\ 3\cdot 20 \ =\ \boxed{60}[/tex]
So, to pass the test, the student must answer 60 questions correctly.