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明知小学六年级一班男生的人数占全班总人数的70%,六年级二班的男生比一班男生少2名,而女生人数为一班女生的2倍.如果两班合在一起,则男生所占的比例为60%.请问:二班有多少名女

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答案和解析
设二班有x名女生,则一班有女生0.5x名,
可得一班的总人数是0.5x÷(1-70%),
所以一班的男生人数是0.5x÷(1-70%)×70%,
二班的男生人数是0.5x÷(1-70%)×70%-2;
因为两班合在一起,则男生所占的比例为60%,
可得男、女生的人数比是60%:(1-60%)=3:2,
则[0.5x÷(1-70%)×70%×2-2]:(x+0.5x)=3:2,
                       (
7
3
x-2):(
3
2
x)=3:2
                                  
14
3
x-4=
3
2
x×3
                                     
x
6
=4
                                  
x
6
×6=4×6
                                      x=24
答:二班有24名女生.
7
3
777333x-2):(
3
2
x)=3:2
                                  
14
3
x-4=
3
2
x×3
                                     
x
6
=4
                                  
x
6
×6=4×6
                                      x=24
答:二班有24名女生.
3
2
333222x)=3:2
                                  
14
3
x-4=
3
2
x×3
                                     
x
6
=4
                                  
x
6
×6=4×6
                                      x=24
答:二班有24名女生.
14
3
141414333x-4=
3
2
x×3
                                     
x
6
=4
                                  
x
6
×6=4×6
                                      x=24
答:二班有24名女生.
3
2
333222x×3
                                     
x
6
=4
                                  
x
6
×6=4×6
                                      x=24
答:二班有24名女生.
x
6
xxx666=4
                                  
x
6
×6=4×6
                                      x=24
答:二班有24名女生.
x
6
xxx666×6=4×6
                                      x=24
答:二班有24名女生.