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algebra senior

Problem

On a examination of questions a student answers correctly of the first . Of the remaining questions he answers one third correctly. All the questions have the same credit. If the student's mark is 50%, how many different values of can there be?
(A)
(B)
(C)
(D)
Solution
To calculate the student's score in terms of , you can write the following equation: . Simplify to get , so there is solution.
Final answer
D