Answer: Let's assume that the total number of questions on the quiz is q. We know that Miranda missed 5 questions, which is equivalent to one-fourth of all the questions on the quiz. We can use this information to set up an equation to solve for q.
Since Miranda missed one-fourth of all the questions, this means that she answered three-fourths of all the questions. The number of questions that Miranda answered correctly is therefore:
3/4 * q
Since she missed 5 questions, we can set up an equation:
3/4 * q + 5 = q
Subtracting 3/4 * q from both sides, we get:
5 = 1/4 * q
Multiplying both sides by 4, we get:
20 = q
Therefore, the number of questions on the quiz is 20. We can check this by verifying that Miranda missed 5 questions, which is one-fourth of 20.
Explanation: