Final answer:
The student earned an 80 percent score on the 30-question quiz by correctly answering 24 questions.
Step-by-step explanation:
To calculate the percentage that the student earned on the quiz, we can set up an equivalent fraction where the total number of correct answers (24) over the total number of questions (30) is equal to the percentage the student earned over 100. This can be represented mathematically as 24/30 = x/100, where x represents the percentage score.
To find the value of x, we cross-multiply and solve for x:
- 24 × 100 = x × 30
- x = (24 × 100) / 30
- x = 2400 / 30
- x = 80
Therefore, the student earned an 80 percent score on the quiz.