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? Choose 1 answer: (A) 4 (B) 19 (C) 86 (D) 105

Question

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? Choose 1 answer: (A) 4 (B) 19 (C) 86 (D) 105

Bytelearn · Accepted Answer

Find Total Problems: First, we need to find the total number of problems on the test. We know that 86 problems represent 81.9% of the total. To find the total number of problems, we can set up the equation: 86 = 81.9% of Total Problems To find the Total Problems, we divide 86 by 81.9% (or 0.819 in decimal form). Total Problems = 86 / 0.819Calculate Total: Now, let's perform the division to find the total number of problems. Total Problems = 86 / 0.819 ≈ 105 (rounded to the nearest whole number since we can't have a fraction of a problem)Find Incorrect Problems: Next, we need to find out how many problems the student answered incorrectly. Since the student answered 86 problems correctly, and there are 105 problems in total, we subtract the number of correct answers from the total number of problems. Incorrect Problems = Total Problems - Correct Problems Incorrect Problems = 105 - 86Subtract to Find Incorrect: Let's do the subtraction to find the number of incorrect answers. Incorrect Problems = 105 - 86 = 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? $\newline$ Choose $1$ answer: $\newline$ (A) $4$ $\newline$ (B) $19$ $\newline$ (C) $86$ $\newline$ (D) $105$

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More problems from Percents of numbers: fractional and decimal percents

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A student answered 868686 problems correctly, which was 81.9%81.9\%81.9% of the total number of problems on the test. How many problems did the student answer incorrectly?\newlineChoose 111 answer:\newline(A) 444\newline(B) 191919\newline(C) 868686\newline(D) 105105105

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? $\newline$ Choose $1$ answer: $\newline$ (A) $4$ $\newline$ (B) $19$ $\newline$ (C) $86$ $\newline$ (D) $105$