A student answered 86 problems correctly, which was 81.9% of the total number of problems on the test. How many problems did the student answer incorrectly?

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Determine total number of problems: Determine the total number of problems on the test. We know that 86 problems represent 81.9% of the total number of problems. To find the total number of problems, we can set up the equation: 86 = 81.9% * Total number of problems To solve for the total number of problems, we divide 86 by 81.9% (or 0.819 in decimal form). Total number of problems = 86 / 0.819Calculate total number of problems: Calculate the total number of problems. Total number of problems = 86 / 0.819 Total number of problems ≈ 105 (rounded to the nearest whole number since we can't have a fraction of a problem)Calculate number of incorrect answers: Calculate the number of problems the student answered incorrectly. If the student answered 86 problems correctly, and there are approximately 105 problems in total, then the number of incorrect answers is: Number of incorrect answers = Total number of problems - Number of correct answers Number of incorrect answers = 105 - 86Evaluate number of incorrect answers: Evaluate the number of incorrect answers. Number of incorrect answers = 105 - 86 Number of incorrect answers = 19

A student answered $86$ problems correctly, which was $81.9\%$ of the total number of problems on the test. How many problems did the student answer incorrectly?

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A student answered $86$ problems correctly, which was $81.9\%$ of the total number of problems on the test. How many problems did the student answer incorrectly?