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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?

 Nov 12, 2020
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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.

 Nov 12, 2020

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