Answered

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In order to pass a final exam, a student must answer 75% or more questions correctly. If the final exam has 80 questions what is the smallest number of questions the student must answer correctly in order to pass the test

Sagot :

Intriguing456idn

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.

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