Math Problem Statement

Victoria took a test and got 80% of the questions right. She answered 20 questions correctly. How many questions were on the test?

Solution

Let’s solve the problem:

Victoria answered 20 questions correctly, and that represents 80% of the total questions. To find the total number of questions, we can use the formula:

Total questions=Correct answersPercentage correct.\text{Total questions} = \frac{\text{Correct answers}}{\text{Percentage correct}}.

Substituting the given values:

Total questions=200.8=25.\text{Total questions} = \frac{20}{0.8} = 25.

So, the total number of questions on the test is 25.

Would you like me to explain further or explore related problems?

5 Related Questions:

  1. If Victoria had answered 90% of the questions correctly and answered 18 correctly, how many questions would there be?
  2. What percentage did Victoria score if there were 30 questions and she answered 24 correctly?
  3. If another student answered 15 questions correctly out of 25, what percentage did they get right?
  4. How can this formula be rearranged to find the number of correct answers if the percentage and total are known?
  5. What happens if Victoria answers 16 questions correctly but scores only 64%? How many total questions would there be?

Tip:

Always express percentages as decimals in equations (e.g., 80% becomes 0.8) to simplify calculations.

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Math Problem Analysis

Mathematical Concepts

Percentages
Ratios
Basic Algebra

Formulas

Total questions = Correct answers / Percentage correct

Theorems

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Suitable Grade Level

Grades 5-7