Question

topic: convert percents, decimals, and fractions
progress:
the movement of the progress bar may be uneven because questions can be worth more or less (including zero) depending on your answer.
choose the option below that accurately describes what it means to get 80% on a test.
if the test had 50 questions on it, you would have correctly answered 30 of the questions.
if the test had 100 questions, you incorrectly answered 20 of them.
the test had 80 problems on it and you got all of them correct.
the test would have to have 100 questions for you to be able to get 80% on it.

Explanation:

Step1: Recall percentage - calculation formula

The formula for percentage is $\text{Percentage}=\frac{\text{Number of correct answers}}{\text{Total number of questions}}\times100$.

Step2: Check each option

Option 1:

If there are 50 questions and 30 are correct, then $\text{Percentage}=\frac{30}{50}\times100 = 60\%$.

Option 2:

If there are 100 questions and 20 are incorrect, then the number of correct answers is $100 - 20=80$. And $\text{Percentage}=\frac{80}{100}\times100 = 80\%$.

Option 3:

If there are 80 questions and all are correct, then $\text{Percentage}=\frac{80}{80}\times100 = 100\%$.

Option 4:

If there are 100 questions, to get 80% correct, the number of correct answers should be $\frac{80}{100}\times100 = 80$, not that the test has to have 100 questions for an 80% score.

Answer:

If the test had 100 questions, you incorrectly answered 20 of them.