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  3. For each of Questions 1 to 9, compare Quantity A and Quantity B, using additiona

For each of Questions 1 to 9, compare Quantity A and Quantity B, using additiona

游客2024-01-12  9
问题 For each of Questions 1 to 9, compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question.
(A)Quantity A is greater.
(B)Quantity B is greater.
(C)The two quantities are equal.
(D)The relationship cannot be determined from the information given.
A symbol that appears more than once in a question has the same meaning throughout the question.
[br]
选项
答案 B
解析 Two approaches you could use to solve this problem are:
    1: Translate from words to algebra.
    2: Determine a mathematical relationship between the two quantities.
    Approach 1: You can represent the least of the three consecutive integers by x, and then the three integers would be represented by x, x + 1, and x + 2. It is given that the sum of the three integers is -84, so x +(x + 1)+(x + 2)= -84. You can solve this equation for x as follows.
x +(x+1)+(x + 2)= -84
3x + 3 = -84
3x = -87
x = -29
Since the least of the three integers, -29, is less than -28, the correct answer is Choice B.
    Approach 2: You could ask yourself what would happen if the least of the three consecutive integers was -28. The three consecutive integers would then be -28, -27, and -26, and their sum would be -81. But you were given that the sum of the three consecutive integers is -84, which is less than -81. Therefore, -28 is greater than the least of the three consecutive integers, and the correct answer is Choice B.
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