On a quiz a student answered 16 questions correctly. This was 80% of the questions on the quiz. How many questions were on the quiz? 6th grade math.
0.8x = 16
x = 16/0.8
x = 20
20
To find the total number of questions on the quiz, you can use the following formula:
Total number of questions = (Number of correctly answered questions) / (Percentage of correctly answered questions)
In this case, the student answered 16 questions correctly, which is 80% of the total questions. Let's solve the equation:
Total number of questions = 16 / 0.80
Recall that dividing by a decimal is the same as multiplying by its reciprocal:
Total number of questions = 16 * (1 / 0.80)
Simplifying the fraction:
Total number of questions = 16 * 1.25
Multiplying:
Total number of questions = 20
Therefore, there were 20 questions on the quiz.
To determine the total number of questions on the quiz, we can set up a proportion using the given information.
Let's assume the total number of questions on the quiz is represented by "x". Since the student answered 80% of the questions correctly, we know that 80% of "x" is equal to 16.
To find 80% of a number, we multiply that number by 0.8. Therefore, we can write the proportion as follows:
0.8x = 16
To solve this equation for "x," we need to isolate it on one side of the equation. We can do this by dividing both sides of the equation by 0.8:
x = 16 / 0.8
Dividing 16 by 0.8 gives us:
x = 20
Therefore, there were 20 questions on the quiz.