In a certain class, every student is either a boy or a girl

题目

In a certain class, every student is either a boy or a girl. The boys constitute of the students in the class.

Quantity A

The ratio of boys to girls in the class

Quantity B

The fraction of the class that are girls

选项

Quantity A is greater.

Quantity B is greater.

The two quantities are equal.

The relationship cannot be determined from the information given.

解析

已知男孩占班级学生总数的\(\frac{5}{13}\)，那么女孩占班级学生总数的比例为\(1-\frac{5}{13}=\frac{8}{13}\) 设班级总人数为\(13\)（因为分数的分母为\(13\)，这样便于计算），则男孩有\(5\)人，女孩有\(13 - 5=8\)人。男孩与女孩的比例为\(5:8=\frac{5}{8}\)由于\(0.625>0.615\)，即\(\frac{5}{8}>\frac{8}{13}\) 所以数量A大于数量B，答案是A

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