由甲、乙、丙三个粮仓,已知甲、乙两仓存粮之比是4:5,乙、丙两仓存粮之比是6:7,且甲、丙两仓共存粮1180吨,求三个仓库各存粮多少吨?
解:甲、乙比是4:5,乙、丙比是6:7,
那么甲、乙、丙的比是:24:30:35,
甲粮仓共存粮:1180×
![](http://thumb.1010pic.com/pic5/latex/464617.png)
=480(吨);
丙粮仓共存粮:1180×
![](http://thumb.1010pic.com/pic5/latex/464618.png)
=700(吨);
乙粮仓存粮是:480÷
![](http://thumb.1010pic.com/pic5/latex/464619.png)
×
![](http://thumb.1010pic.com/pic5/latex/464620.png)
,
=480÷
![](http://thumb.1010pic.com/pic5/latex/464621.png)
×
![](http://thumb.1010pic.com/pic5/latex/439417.png)
,
=480×
![](http://thumb.1010pic.com/pic5/latex/464622.png)
×
![](http://thumb.1010pic.com/pic5/latex/439417.png)
,
=600(吨);
答:甲粮仓存粮480吨,乙粮仓存粮700吨,丙粮仓存粮600吨.
分析:根据甲、乙两仓存粮之比是4:5,乙、丙两仓存粮之比是6:7,可求出甲、乙、丙三个粮仓存粮之比是24:30:35,且甲、丙两仓共存粮1180吨,即可列式计算.
点评:根据甲、乙,乙、丙粮仓存粮之比,求出甲、乙、丙三个粮仓的存粮之比,再按比例分配进行简算即可.