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Math test scoring system problems

1000BeginnerAlgebra

Регионален натпревар по математика за основно образование

Fourth-grade students took a mathematics test containing 20 problems. For each correctly solved problem they receive 5 points, and for each incorrectly solved or unsolved problem they lose 3 points. a) How many problems did Ivan solve if he scored 76 points? b) What is the maximum number of problems a student can get wrong and still be sure to get a five? The smallest number of points needed for a grade of 5 is the solution to the equation $8245:x=97$.
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