A quiz had only \(3\)-point questions and \(4\)-point questions. The best possible score is \(100\) and there are \(29\) questions. How many \(4\)-point questions are there?

Let the number of 3-point questions = Q

Then, the number of 4-point questions =29 - Q

3Q + 4[29 - Q] = 100, solve for Q

3Q + 116 - 4Q = 100

-Q = 100 - 116

Q = 16 - Number of 3-point questions

29 - 16 = 13 - Number of 4-point questions.