On last week's math test, 32 students received passing grades and 16 students did not receive passing grades. What is the ratio of the number of students who passed the test to the total number of students who took the test?

Question

A.

Answer 1

To determine the ratio of the number of students who passed the test to the total number of students who took the test, follow these steps:

1. Find the total number of students:

   • Students who passed: 32
   • Students who did not pass: 16
   • Total students = Students who passed + Students who did not pass = 32 + 16 = 48

2. Find the ratio of the number of students who passed to the total number of students:

   • Ratio = Number of students who passed : Total number of students
   • Ratio = 32 : 48

3. Simplify the ratio:

   • Both numbers can be divided by 16.
   • \( \frac{32 \div 16}{48 \div 16} = \frac{2}{3} \)

Thus, the simplified ratio of the number of students who passed the test to the total number of students who took the test is:

2 : 3

So, the answer is 2 : 3.