题目

Two classes participate in a contest stacking blocks. Each person in class 1 stacks 80 percent as many blocks as each person in class 2 and there are 25 percent more people in class 1 than class 2.


Quantity A

The percent of the total blocks that class 1 stacks

Quantity B

The percent of the total blocks that class 2 stacks


选项

A.

The quantity in Column A is greater.  


B.

The quantity in Column B is greater.


C.

The two quantities are equal.


D.

The relationship cannot be determined from the information given.

解析

设 \( x \) 为2班的人数 因此,\( 1.25x \) 为1班的人数(因为1班比2班人数多25%) 设 \( y \) 为2班每人堆叠的积木数 因此,\( 0.8y \) 为1班每人堆叠的积木数(因为1班每人堆叠的积木数是2班的80%) 每个班级堆叠的**总积木数** = 班级人数 × 班级内每人堆叠的积木数 1班堆叠的总积木数 = \( (1.25x)(0.8y) = xy \) 2班堆叠的总积木数 = \( (x)(y) = xy \) 由于两个班级堆叠的积木总数**相同**(均为 \( xy \)),这意味着每个班级的积木数占两个班级总积木数的50%。 可得: 数量A:50% 数量B:50% 答案:C
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