SOLUTION: A test is worth 200 points.Th test consist of true and false questions worth 6 points each and multiple choice questions are worth 13 points each.how many multiple choice questions

Question 1026238: A test is worth 200 points.Th test consist of true and false questions worth 6 points each and multiple choice questions are worth 13 points each.how many multiple choice questions are on the test and true and false questions?
Answer by robertb(5830) (Show Source): You can put this solution on YOUR website!
This is a linear Diophantine equation given by 6x + 13y = 200, where x = # of true or false questions, and y = # multiple choice questions.
A particular solution is and .
All solutions are given by and , where n is any integer.
==> There are three possible solutions:
x = 3, y = 14;
x = 16, y = 18;
x = 29, y = 2.
Note: The solution was made possible by the fact that gcd(6,13) = 1 divides 200.
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