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In a class of 160 seniors, the ratio of boys to girls is 3 to 5. In the junior class, the ratio of boys to girls is 3 to 2. When the two classes are combined, the ratio of boys to girls is 1 to 1. How many students are in the junior class?

单选题
2022-11-03 22:20
A、400
B、360
C、200
D、180
E、160
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正确答案
C

试题解析

因为这个班共有160人,男生和女生的比例为3:5,所以男生和女生的人数分别为(3/8) ×160 = 60人,(5/8) ×160 = 100人。假设另一班男生女生人数共有x人,那么男生女生的人数分别为(3/5)x,(2/5)x,又因为当两班的人数相加后,男生女生的比例相等,所以可得出60 + (3/5)x = 100 + (2/5)x,经计算,x = 200。

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