What number exceeds 16% of itself by 42________?
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Answer: A. 50
Explanation
Subtracting sixteen percent of an unknown number from itself yields a remainder equal to forty-two. Algebraically expressing this relationship gives zero point eight four times the number equal to forty-two. Dividing forty-two by zero point eight four solves the linear equation resulting in the exact number fifty. Linear algebraic equations allow unknown quantities to be isolated using fundamental arithmetic operations. Percentages can be converted directly into decimal fractions by dividing the percentage value by one hundred. Checking solutions by substituting calculated values back into original word problems verifies mathematical accuracy.
Accountants calculate pre-tax figures when given post-tax totals and known tax deduction percentage rates. Merchants determine wholesale item costs when retail prices reflect known profit margin percentage additions. Statisticians solve baseline population figures when given reduced survey sample sizes and known attrition percentages. Option B suggests fifty-two which fails verification because sixteen percent of fifty-two does not yield forty-two. Option C suggests fifty-eight which produces an incorrect difference when subtracting sixteen percent of itself. Option D suggests sixty which produces too large a difference when calculating sixteen percent reductions.
- Subject
- Mathematics
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- Mathematics
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- —
- Difficulty
- medium
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