Two-fifths of one-third of three-sevenths of a certain quantity equals 15. What is 40% of that exact quantity?
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Answer: E. None of these
Explanation
Setting up the fractional product equation equates two-fifths times one-third times three-sevenths of x to fifteen. Simplifying the coefficient product gives two-thirty-fifths of x equal to fifteen, making x equal to 262.5. Calculating 40 percent of 262.5 results in 105, which is absent from the provided numerical options A through D. Sequential fractional parts of a quantity are calculated by multiplying all the fractions together consecutively. Solving linear fractional equations requires isolating the unknown quantity by multiplying by reciprocal values. Standard multiple-choice tests include a none-of-the-above option when calculated results do not match listed choices.
Financial calculations often involve taking fractional shares of underlying assets or corporate quantities. Estate planning and inheritance distributions frequently require computing successive fractional portions of totals. This multi-step arithmetic problem tests precision in fraction multiplication and algebraic isolation. Option A represents an incorrect calculated value that does not match the true 40 percent solution of 105. Option B is incorrect because it results from an improper intermediate fraction multiplication step. Option C overestimates the final target value by miscalculating the base quantity equation.
- Subject
- Mathematics
- Category
- Mathematics
- Topic
- —
- Difficulty
- medium
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