Question

Your teacher is giving you a test tomorrow with 2- and 4-point questions for a total of 100 points. The number of 4 points questions is one-third the number of 2-point questions. How many 2- and 4-point questions are on the test?

Answer 1

25 4-point questions and 75 2-point questions

Explanation:

Let x = no. of 4-point questions

Then 3x = no. of 2-point questions

So, x + 3x = 100

4x = 100

x = 25 = no. of 4-point questions

and 3x = 3(25) = 75 = no. of 2-point questions