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2x + 3y = 12003x + 2y = 1300Based on the system of equations above, what is the value of 5x + 5y?

Correct answer: D. 2500

  • A. 2200
  • B. 2300
  • C. 2400
  • D. 2500

Explanation

To find the value of 5x + 5y, add the two equations: (2x + 3y) + (3x + 2y) = 1200 + 1300. This simplifies to 5x + 5y = 2500. Therefore, the correct answer is 2500.The other options (2200, 2300, 2400) are incorrect due to potential errors in adding the coefficients or the constants from the equations.

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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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