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某工会男女会员的人数之比是3:2,分为甲、乙、丙三组,已知甲、乙、丙三组的人数比是10:8:7,甲组中男女会员的人数之比是3:1,乙组中男女会员的人数之比是5:3,求丙组中男女会员

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答案和解析
设甲组为10x人,乙组为8x人,丙组为7x人,
则三组共有会员:10x+8x+7x=25x(人),
俱乐部有男会员:25x×
3
3+2
=15x(人),俱乐部有女会员:25x×
2
3+2
=10x(人),
甲组有男会员:10x×
3
3+1
=7.5x(人),甲组有女会员:10x-7.5x=2.5x(人),
乙组有男会员:8x×
5
5+3
=5x(人),乙组有女会员:8x-5x=3x(人),
丙组有男会员:15x-7.5x-5x=2.5x(人),丙组有女会员:10x-2.5x-3x=4.5x(人),
则丙组中男女会员人数之比:2.5x:4.5x=5:9.
答:丙组中男女会员人数之比是5:9.
3
3+2
3333+23+23+2=15x(人),俱乐部有女会员:25x×
2
3+2
=10x(人),
甲组有男会员:10x×
3
3+1
=7.5x(人),甲组有女会员:10x-7.5x=2.5x(人),
乙组有男会员:8x×
5
5+3
=5x(人),乙组有女会员:8x-5x=3x(人),
丙组有男会员:15x-7.5x-5x=2.5x(人),丙组有女会员:10x-2.5x-3x=4.5x(人),
则丙组中男女会员人数之比:2.5x:4.5x=5:9.
答:丙组中男女会员人数之比是5:9.
2
3+2
2223+23+23+2=10x(人),
甲组有男会员:10x×
3
3+1
=7.5x(人),甲组有女会员:10x-7.5x=2.5x(人),
乙组有男会员:8x×
5
5+3
=5x(人),乙组有女会员:8x-5x=3x(人),
丙组有男会员:15x-7.5x-5x=2.5x(人),丙组有女会员:10x-2.5x-3x=4.5x(人),
则丙组中男女会员人数之比:2.5x:4.5x=5:9.
答:丙组中男女会员人数之比是5:9.
3
3+1
3333+13+13+1=7.5x(人),甲组有女会员:10x-7.5x=2.5x(人),
乙组有男会员:8x×
5
5+3
=5x(人),乙组有女会员:8x-5x=3x(人),
丙组有男会员:15x-7.5x-5x=2.5x(人),丙组有女会员:10x-2.5x-3x=4.5x(人),
则丙组中男女会员人数之比:2.5x:4.5x=5:9.
答:丙组中男女会员人数之比是5:9.
5
5+3
5555+35+35+3=5x(人),乙组有女会员:8x-5x=3x(人),
丙组有男会员:15x-7.5x-5x=2.5x(人),丙组有女会员:10x-2.5x-3x=4.5x(人),
则丙组中男女会员人数之比:2.5x:4.5x=5:9.
答:丙组中男女会员人数之比是5:9.