Question

of the 90 students who sat for a test,24 students passed .find the ratio of the number of students who passed the test to thenumber of students who did not .give answer in simplest form

Answer 1

4/11

Explanation:

The desired ratio is:

number of students who passed 24

------------------------------------------------------- = -------------------

number of students who did not pass 90 - 24 = 66

This ratio reduces to 24/66, or 4/11

Answer 2

Answer: 4/11

Explanation:

Givens

• Total number of students = 90
• Number of students who did pass = 24
• Number of students that did not pass = ?

Solution

• Number of students who did not pass = Total - Those who did
• Number not passing = 90 - 24 = 66
• Ratio = 24 / 66

• Find the highest common factor by factoring down to primes.
• 24: 2 * 2 * 2 * 3
• 66: 2 * 3 * 11

• The bolded numbers are the highest common factor: 2 * 3 = 6
• Take out the bolded numbers and record what is left
• 2*2 / 11 = 4/11