One half of a number increased by 3 is five less than two thirds of the number. What is the number?
Correct answer: C. 48
- A. 58
- B. 45
- C. 48
- D. 68
Explanation
To solve the problem, first translate the statement into an equation: ½n + 3 = ⅔n - 5. Simplifying this, you get n = 48. Let's verify:For Option C (48):Left side: ½(48) + 3 = 24 + 3 = 27.Right side: ⅔(48) - 5 = 32 - 5 = 27.Both sides are equal, confirming 48 is the correct answer.For the other options:Option A (58): The left side equals 32, and the right side equals 34.67. They are not equal.Option B (45): The left side equals 25.5, and the right side equals 25. They are not equal.Option D (68): The left side equals 37, and the right side equals 40.33. They are not equal.Thus, the only correct answer is 48.
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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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