Mrs. Kwon's science students took a pop quiz. Six students failed the quiz, and 16 students passed the quiz. Show you understand that comparing quantities using subtraction by comparing the number of students who passed to the number of students who failed using a ratio.
To compare the number of students who passed the quiz to the number of students who failed using a ratio, we need to find the difference between the two quantities.
First, let's determine the number of students who passed the quiz. According to the information given, 16 students passed the quiz.
Next, we'll find the number of students who failed the quiz. The information states that six students failed the quiz.
To calculate the ratio, we'll subtract the number of students who failed from the number of students who passed:
Number of students who passed - Number of students who failed = 16 - 6 = 10
So the ratio of students who passed the quiz to the number of students who failed is 10:6, which simplifies to 5:3.
To compare the number of students who passed the quiz to the number of students who failed, you can use a ratio.
Step 1: Subtract the number of students who passed the quiz from the number of students who failed the quiz:
6 students failed - 16 students passed = -10
Step 2: Since a ratio should have positive values, we will take the absolute value of the difference.
|-10| = 10
Step 3: Write the ratio using the number of students who passed to the number of students who failed:
16:6
Therefore, the ratio of the number of students who passed the quiz to the number of students who failed is 16:6.
To compare the number of students who passed to the number of students who failed using a ratio, we need to subtract the number of students who failed from the total number of students.
Total number of students = Students who failed + Students who passed
Therefore, Total number of students = 6 + 16 = 22
Now, let's find the ratio of students who passed to the students who failed:
Ratio of students who passed to students who failed = Students who passed / Students who failed
Ratio of students who passed to students who failed = 16 / 6
Ratio of students who passed to students who failed = 2.67 [rounded to two decimal places]
So, the ratio of students who passed to students who failed is approximately 2.67:1.