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.
