SOLUTION: 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?

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Question 246049: 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?
Answer by nerdybill(7384) About Me  (Show Source):
You can put this solution on YOUR website!
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 x = number of 4-point questions
then
29-x = number of 3-point questions
.
4x + 3(29-x) = 100
4x + 87 - 3x = 100
x + 87 = 100
x = 13 (number of 4-point questions)