Frazier Guerrero
08/12/2024 · High School
A student received an \( 82 \% \) on an exam. If there were 50 questions on the exam, which ratio would show the number of questions answered correctly to the total number of questions?
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To find the number of questions answered correctly, we can calculate \( 82\% \) of the total number of questions, which is 50.
First, we convert the percentage to a decimal:
\[
82\% = \frac{82}{100} = 0.82
\]
Next, we multiply this decimal by the total number of questions:
\[
\text{Number of questions answered correctly} = 0.82 \times 50 = 41
\]
Now, we can express the ratio of the number of questions answered correctly to the total number of questions:
\[
\text{Ratio} = \frac{\text{Number of questions answered correctly}}{\text{Total number of questions}} = \frac{41}{50}
\]
Thus, the ratio that shows the number of questions answered correctly to the total number of questions is:
\[
\frac{41}{50}
\]
Quick Answer
The ratio is \( \frac{41}{50} \).
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