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There are one hundred and forty-two students in a high school band. These students represent two ninth of the total students in the high school. How many students attend the school?

Correct answer: C. 639

  • A. 587
  • B. 613
  • C. 639
  • D. 665

Explanation

To determine the total number of students in the high school, set up a proportion using the information that the 142 band students represent two-ninths of the total students. Cross-multiply to solve for the unknown:(142 band students) / (Total students) = (2/9)142 * 9 = Total students * 21,278 = Total students * 2Total students = 1,278 / 2Total students = 639Therefore, the correct answer is 639. Option A, B, and D are incorrect as they provide different values obtained from incorrect calculations.

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About Quantitative Reasoning

Quantitative reasoning applies arithmetic and basic algebra to numerical relationships, including percentages, ratios, averages, fractions, proportions, profit and loss, rates, time, work and measurement. Questions focus on translating words into equations, choosing an efficient method and checking whether the result is numerically reasonable.

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