某自来水公司水费计算办法如下:若每户每月用水不超过5方,则每立方米收费0.85元;超过5方,超出部分每方收 某自来水公司水费计算办法如下:若每户每月用水不超过5立方米,...

\u67d0\u81ea\u6765\u6c34\u516c\u53f8\u6c34\u8d39\u8ba1\u7b97\u529e\u6cd5\u5982\u4e0b\uff1a\u6bcf\u6237\u6bcf\u6708\u7528\u6c34\u4e0d\u8d85\u8fc75\u5428\u7684\uff0c\u6bcf\u5428\u6536\u8d390.85\u5143\uff1b\u8d85\u8fc75\u5428\u7684\uff0c\u8d85\u51fa\u90e8\u5206\u6bcf\u5428\u6536\u53d6

\u2235\u6bcf\u6237\u6bcf\u6708\u7528\u6c34\u4e0d\u8d85\u8fc75\u5428\u7684\uff0c\u6bcf\u5428\u6536\u8d390.85\u5143\uff0c\u22345\u00d70.85=4.25\u5143\u5f53\u8d85\u8fc75\u5428\uff0c\u6c34\u8d39\u8d85\u8fc74.25\u5143\uff0c\u223514.6\uff1e4.25\uff0c\u223414.6-4.25=10.35\u5143\uff0c\u8bbe\u5f20\u5bb6\u7528\u6c34\u91cf\u4e3a2x\u5428\uff0c\u5219\u674e\u5bb6\u4e3a3x\u5428\uff0c\u8d85\u51fa\u90e8\u5206\u6bcf\u5428\u6536\u8d39p\u5143\uff0c\u5219\u53ef\u5217\u65b9\u7a0b\u5982\u4e0b\uff1a22.65-14.6=8.05=\uff083x-2x\uff09p14.6-8.05-0.85\u00d75=2.3\u8d85\u51fa\u90e8\u5206\u7684\u5355\u4ef7\u76f8\u540c51-2.38.05\u00d7p=8.05\uff0c\u89e3\u5f97p=1.15\uff0e\u6545\u7b54\u6848\u4e3a1.15\uff0e

\u8bbe\u5f20\u5bb61\u6708\u4efd\u7528\u6c34\u91cf\u4e3a2x\u7acb\u65b9\u7c73\uff0c\u674e\u5bb6\u4e3a3x\u7acb\u65b9\u7c73\uff1a5\u00d71.5=7.5\uff08\u5143\uff09\uff0c17.5-7.5=10\uff08\u5143\uff09\uff0c27.5-7.5=20\uff08\u5143\uff09\uff0c\u53ef\u5f97102x?5\uff1d203x?5\uff0c 2\uff082x-5\uff09=3x-5\uff0c 4x-10=3x-5\uff0c x=5\uff0c10\u00f7\uff082\u00d75-5\uff09=2\uff08\u5143\uff09\uff1b\u7b54\uff1a\u8d85\u51fa5\u7acb\u65b9\u7c73\u7684\u90e8\u5206\u6bcf\u7acb\u65b9\u7c73\u6536\u8d392\u5143\uff0e\u6545\u7b54\u6848\u4e3a\uff1a2\uff0e

解:设小莹家用水为2X,则小明家用水为3X,超出5方部分每方收费为Y,则可列方程为
(2X-5)Y+5*0.85=14.6
(3X-5)Y+5*0.85=22.65
方程式简化后为(2X-5)/(3X-5)=(14.6-5*0.85)/(22.65-5*0.85)
解出X=7
代入方程得出Y=1.15
超出5方的部分每方收费为1.15元。
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