六年级奥数题
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A\u30011:10 B\u30011:11 C\u300110:11 D\u300111:1
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A\u30015\u5347 B\u30017.5\u5347 C\u300110\u5347 D\u30019\u5347
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A\u30014\uff1a3 B\u30013\uff1a4 C\u30019\uff1a16 D\u300116\uff1a9
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A\uff0ec\uff1aa\uff1dd\uff1ab B\uff0ec\uff1aa\uff1db\uff1ad C\uff0ea\uff1ab\uff1dc\uff1ad D\uff0ea\uff1ac\uff1db\uff1ad
\u4e09\u3001\u5224\u65ad\uff08\u6b63\u786e\u7684\u5728\u62ec\u53f7\u91cc\u6253\u201c\u221a\u201d\uff0c\u9519\u8bef\u7684\u6253\u201c\u00d7\u201d \uff09\u3002\uff085\u5206\uff09
1\u3001\u4e00\u79cd\u5546\u54c1\u6253\u201c\u516b\u4e94\u6298\u201d\u51fa\u552e\uff0c\u4e5f\u5c31\u662f\u628a\u8fd9\u79cd\u5546\u54c1\u4f18\u60e0\u4e8685%\u3002\uff08 \uff09
2\u3001\u505a\u79cd\u5b50\u53d1\u82bd\u5b9e\u9a8c\uff0c\u79cd\u5b50\u7684\u53d1\u82bd\u7387\u6700\u9ad8\u53ef\u8fbe100%\u3002 \uff08 \uff09
3\u3001\u4e00\u4e2a\u5706\u67f1\u4f53\u7684\u4f53\u79ef\u4e00\u5b9a\u5927\u4e8e\u548c\u5b83\u7b49\u5e95\u7b49\u9ad8\u7684\u5706\u9525\u7684\u4f53\u79ef\u3002 \uff08 \uff09
4\u3001\u7528\u957f6.28\u5206\u7c73\uff0c\u5bbd3.14\u5206\u7c73\u7684\u7eb8\u677f\uff0c\u53ef\u56f4\u6210\u5bb9\u79ef\u7ea6\u662f9.9\u7acb\u65b9\u5206\u7c73\u7684\u5706\u67f1\u4f53\u72b6\u7eb8\u7b52\u3002 \uff08 \uff09
5\u3001\u8f66\u8f6e\u7684\u534a\u5f84\u4e00\u5b9a\uff0c\u6240\u884c\u9a76\u7684\u8def\u7a0b\u4e0e\u8f66\u8f6e\u7684\u7684\u8f6c\u6570\u6210\u53cd\u6bd4\u4f8b\u3002 \uff08 \uff09
\u56db\u3001\u8ba1\u7b97\u3002 \uff0829\u5206\uff09
1\u3001 \u76f4\u63a5\u5199\u5f97\u6570\u3002 \uff088\u5206\uff09
6\u00f7 = \u00d710% = \u00d78 = 15\u00f71%=
1.05\uff0d = \u00f7 = \uff08 \uff0d \uff09\u00d7 = \u00d7 \u00f7 \u00d7 =
2\u3001\u89e3\u65b9\u7a0b\u3002\uff089\u5206\uff09
\uff0b X = 2 X\uff1a =12\uff1a =0.5
3\u3001\u8ba1\u7b97\uff08\u80fd\u7b80\u7b97\u7684\u8981\u7b80\u7b97\uff09\u3002 \uff0812\u5206\uff09
\u00f7\uff081\uff0d \uff09\u00d7 \u00d7 \uff0b40%\u00d7
\u00f7\uff08 \uff0b \uff09 \uff08 \uff0b \uff09\u00d7 \uff0b
\u4e94\u3001\u5b9e\u8df5\u64cd\u4f5c\uff086+4\u5206\uff09
1\u3001\u6c42\u5706\u67f1\u7684\u8868\u9762\u79ef\uff08\u5355\u4f4d\uff1a\u5398\u7c73\uff09 2\u3001\u6c42\u5706\u9525\u7684\u4f53\u79ef\uff08\u5355\u4f4d\uff1a\u5206\u7c73\uff09
2\u3001\u753b\u4e00\u753b\u3002\uff084\u5206\uff09
\u5b66\u6821\u7684\u64cd\u573a\u957f150\u7c73\uff0c\u5bbd60\u7c73\uff0c\u8bf7\u4f60\u9009\u62e9\u5408\u9002\u7684\u6bd4\u4f8b\u5c3a\u5728\u4e0b\u9762\u7684\u7a7a\u767d\u5904\u753b\u51fa\u64cd\u573a\u7684\u5e73\u9762\u56fe\u3002\uff08\u8bf7\u4f60\u5148\u9009\u62e9\u6bd4\u4f8b\u5c3a\uff0c\u6c42\u51fa\u56fe\u4e0a\u7684\u957f\u5bbd\u5398\u7c73\u6570\u518d\u753b\u56fe\uff09
A\u30011\uff1a1000 B\u30011\uff1a3000 C\u30011\uff1a6000
\u9009\u62e9\u7b2c \u79cd\u6bd4\u4f8b\u5c3a\u3002
\u516d\u3001\u89e3\u51b3\u95ee\u9898\uff08\u7b2c1-4\u9898\u6bcf\u98985\u5206\uff0c\u7b2c5\u30016\u9898\u6bcf\u98984\u5206\uff0c\u7b2c7\u98983\u5206\uff0c31\u5206\uff09
1\u3001\u7238\u7238\u7684\u5de5\u8d44\u5e94\u7eb3\u7a0e\u6b3e\u7684\u90e8\u5206\u662f480\u5143\u3002\u5982\u679c\u63095%\u7a0e\u7387\u8ba1\u7b97\uff0c\u7238\u7238\u5de5\u8d44\u7684\u8fd9\u90e8\u5206\u6536\u5165\u5e94\u7f34\u7eb3\u4e2a\u4eba\u6240\u5f97\u7a0e\u591a\u5c11\u5143\uff1f
2\u3001\u745e\u661f2007\u7248\u6740\u6bd2\u8f6f\u4ef6\u6253\u4e03\u4e94\u6298\u9500\u552e\u540e\uff0c\u73b0\u4ef7\u662f24\u5143\uff0c\u539f\u4ef7\u662f\u591a\u5c11\u5143\uff1f
3\u3001\u524d\u8fdb\u9547\u53bb\u5e74\u5c0f\u9ea6\u603b\u4ea7\u91cf\u662f2000\u5428\uff0c\u6c34\u7a3b\u603b\u4ea7\u91cf\u6bd4\u5c0f\u9ea6\u5c11\u4e8c\u6210\uff0c\u6c34\u7a3b\u603b\u4ea7\u91cf\u662f\u591a\u5c11\u5428\uff1f
4\u3001\u88c5\u8ba2\u4e00\u6279\u7c3f\u672c\uff0c\u5982\u679c\u6bcf\u672c24\u9875\uff0c\u53ef\u4ee5\u88c5\u8ba2500\u672c\u3002\u73b0\u5728\u6bcf\u672c\u88c5\u8ba230\u9875\uff0c\u53ef\u4ee5\u88c5\u8ba2\u6210\u591a\u5c11\u672c\uff1f\uff08\u7528\u6bd4\u4f8b\u89e3\uff09
5\u3001\u4e00\u4e2a\u5706\u67f1\u5f62\u7684\u65e0\u76d6\u6c34\u6876\uff0c\u5e95\u9762\u534a\u5f844\u5206\u7c73\uff0c\u9ad86\u5206\u7c73\uff0c\u81f3\u5c11\u9700\u8981\u7528\u591a\u5c11\u5e73\u65b9\u5206\u7c73\u7684\u94c1\u76ae\uff1f\uff08\u7528\u8fdb\u4e00\u6cd5\u53d6\u8fd1\u4f3c\u503c\uff0c\u5f97\u6570\u4fdd\u7559\u6574\u6570\uff09
6\u3001\u4e0b\u56feABCD\u662f\u76f4\u89d2\u68af\u5f62\uff0c\u4ee5AB\u4e3a\u8f74\u5e76\u5c06\u68af\u5f62\u7ed5\u8fd9\u4e2a\u8f74\u65cb\u8f6c\u4e00\u5468\uff0c\u5f97\u5230\u4e00\u4e2a\u65cb\u8f6c\u4f53\uff0c\u5b83\u7684\u4f53\u79ef\u662f\u591a\u5c11\u7acb\u65b9\u5398\u7c73\uff1f
7\u3001\u674e\u5f3a\u5f80\u8fd4\u7532\u3001\u4e59\u4e24\u5730\uff0c\u53bb\u65f6\u6b65\u884c\u6bcf\u5c0f\u65f6\u884c5\u5343\u7c73\uff0c\u8fd4\u56de\u65f6\u4e58\u8f66\u6bcf\u5c0f\u65f6\u884c30\u5343\u7c73\uff0c\u5f80\u8fd4\u5171\u75283\uff0e5\u5c0f\u65f6\uff0c\u7532\u3001\u4e59\u4e24\u5730\u76f8\u8ddd\u591a\u5c11\u5343\u7c73?
\u82cf\u6559\u7248\u516d\u5e74\u7ea7\u6570\u5b66\u4e0b\u518c\u7b2c\u4e00\u5355\u5143\u8fc7\u5173\u6d4b\u8bd5\u9898
\u4e00\u3001\u586b\u7a7a\u9898:
1.\u5b58\u5165\u94f6\u884c\u7684\u94b1\u53eb\u505a( )\uff0c\u53d6\u6b3e\u65f6\u94f6\u884c\u9664\u8fd8\u7ed9( )\uff0c\u53e6\u5916\u4ed8\u7ed9\u7684\u94b1\u53eb\u505a( )｡
2.( )\u5360( )\u7684\u767e\u5206\u7387\u53eb\u505a\u5229\u7387｡2007\u5e74\u798f\u5b89\u5e02\u7684\u4eba\u5747\u6c34\u8d44\u6e90\u662f2006\u5e74\u768498.2%\uff0c2007\u5e74\u798f\u5b89\u5e02\u7684\u4eba\u5747\u6c34\u8d44\u6e90\u6bd42006\u4e0b\u964d\u4e86( )%｡
3.\u5229\u606f=( )｡
4.3\u00f74= =( )%=( )\u6298=( )(\u5c0f\u6570)｡
5.16\u662f20\u7684( )%\uff0c 20\u662f16\u7684( )%\uff1b16\u6bd420\u5c11( )%\uff0c 20\u6bd416\u591a( )%｡
5\u51cf\u5c11\u5b83\u7684( )%\u540e\u662f3 \uff0c\u6bd4( )\u591a37.5%\u7684\u6570\u662f121｡
6.\u67d0\u5382\u6709\u7537\u804c\u5de5285\u4eba\uff0c\u5973\u804c\u5de5215\u4eba\uff0c\u7537\u804c\u5de5\u5360\u5168\u5382\u804c\u5de5\u603b\u6570\u7684( )%\uff0c\u5973\u804c\u5de5\u5360\u5168\u5382\u804c\u5de5\u603b\u6570\u7684( )%｡\u67d0\u65e5\u67094\u4eba\u56e0\u4e8b\u8bf7\u5047\uff0c\u8fd9\u4e00\u5929\u7684\u51fa\u52e4\u7387\u662f( )｡\u5728\u4e00\u6b21\u804c\u5de5\u6280\u80fd\u6d4b\u8bd5\u4e2d\uff0c\u6210\u7ee9\u4f18\u79c0\u7684\u6709387\u4eba\uff0c\u4f18\u79c0\u7387\u662f( )｡
7.\u67d0\u670d\u88c5\u5546\u5e97\u6625\u8282\u671f\u95f4\u4e3a\u4e86\u4fc3\u9500\uff0c\u6240\u6709\u5546\u54c1\u4e00\u5f8b\u6309\u4e03\u4e94\u6298\u9500\u552e\uff0c\u8fd9\u91cc\u7684\u201c\u4e03\u4e94\u6298\u201d\u8868\u793a( )\u662f( )\u7684( )%｡
8.\u5c0f\u534e\u4e70\u4e86\u4e00\u8f86\u73a9\u5177\u8f66\uff0c\u539f\u4ef7\u662f240\u5143\uff0c\u73b0\u5728\u6253\u516b\u6298\u51fa\u552e\uff0c\u5c0f\u534e\u5e94\u4ed8( )\u5143｡
9.\u5929\u5929\u8d85\u5e02\u4e0a\u4e2a\u6708\u7684\u8425\u4e1a\u989d\u662f420\u4e07\u5143\uff0c\u6309\u8425\u4e1a\u989d\u76845%\u7f34\u7eb3\u8425\u4e1a\u7a0e\uff0c\u8be5\u8d85\u5e02\u4e0a\u4e2a\u6708\u5e94\u7f34\u7eb3\u8425\u4e1a\u7a0e( )\u4e07\u5143｡
10.\u8001\u674e\u628a1000\u5143\u94b1\u6309\u4e00\u5e74\u671f\u6574\u5b58\u6574\u53d6\u5b58\u5165\u94f6\u884c\uff0c\u5e74\u5229\u7387\u662f3.87%\uff0c\u5229\u606f\u7a0e\u662f5%\uff0c\u5230\u671f\u65f6\u53ef\u5f97\u7a0e\u540e\u5229\u606f( )\u5143｡
11.\u4e00\u53cc\u8fd0\u52a8\u978b\u6309\u539f\u4ef7\u516b\u4e94\u6298\u9500\u552e\u662f204\u5143\uff0c\u8fd9\u53cc\u8fd0\u52a8\u978b\u539f\u4ef7\u662f( )\u5143｡
12.\u67d0\u5e02\u573a\u4e8c\u6708\u4efd\u6bd4\u4e00\u6708\u4efd\u7684\u8425\u4e1a\u989d\u5c1160\u4e07\u5143\uff0c\u4e00\u6708\u4efd\u8425\u4e1a\u989d\u662f\u4e8c\u6708\u4efd\u7684150%\uff0c\u4e8c\u6708\u4efd\u7684\u8425\u4e1a\u989d\u662f( )\u4e07\u5143｡
\u4e8c\u3001\u9009\u62e9\u9898:(\u628a\u6b63\u786e\u7b54\u6848\u7684\u5e8f\u53f7\u586b\u5728\u62ec\u53f7\u5185)
1.\u201c\u4eca\u5e74\u7cae\u98df\u4ea7\u91cf\u6bd4\u53bb\u5e74\u589e\u4ea730%\u201d\u53ef\u5217\u51fa\u7684\u5173\u7cfb\u5f0f\u662f( )
\u2460\u53bb\u5e74\u7cae\u98df\u4ea7\u91cf\u00d730%=\u4eca\u5e74\u6bd4\u53bb\u5e74\u589e\u4ea7\u7684\u4ea7\u91cf
\u2461\u4eca\u5e74\u7cae\u98df\u4ea7\u91cf\u00d730%=\u4eca\u5e74\u6bd4\u53bb\u5e74\u589e\u4ea7\u7684\u4ea7\u91cf
\u2462\u4eca\u5e74\u6bd4\u53bb\u5e74\u589e\u4ea7\u7684\u4ea7\u91cf\u00d730%=\u53bb\u5e74\u7cae\u98df\u4ea7\u91cf
\u2463\u4eca\u5e74\u6bd4\u53bb\u5e74\u589e\u4ea7\u7684\u4ea7\u91cf\u00d730%=\u4eca\u5e74\u7cae\u98df\u4ea7\u91cf
2.\u7532\u6570\u6bd4\u4e59\u6570\u591a25%\uff0c\u5219\u4e59\u6570\u6bd4\u7532\u6570\u5c11( )
\u246025% \u2461 20% \u2462100% \u246380%
3.\u4e00\u79cd\u7535\u89c6\u673a\u539f\u4ef71200\u5143\uff0c\u73b0\u5728\u6bcf\u53f0\u53ea\u5356960\u5143｡\u964d\u4ef7\u4e86( )｡
\u246025% \u246120% \u246250% \u246315%
4.\u4e00\u79cd\u5927\u8c46\u7684\u51fa\u6cb9\u7387\u662f16%\uff0c200\u5343\u514b\u8fd9\u79cd\u5927\u8c46\u53ef\u69a8\u51fa\u8c46\u6cb9( )｡
\u246032\u5343\u514b \u24611250\u5343\u514b \u246216\u5343\u514b
5.\u67d0\u5e02\u5c45\u6c11\u7528\u6c34\u4ef7\u683c\u63d0\u9ad820%\u540e\uff0c\u6bcf\u7acb\u65b9\u7c73\u662f1.8\u5143｡\u6c42\u63d0\u4ef7\u524d\u6bcf\u7acb\u65b9\u7c73\u7684\u4ef7\u683c\u7684\u5217\u5f0f\u662f( )
\u2460 1.8\u00d720% \u2461 1.8\u00f720%
\u2462.1.8\u00f7(1-20%) \u2463 1.8\u00f7(1+20%)
\u4e09\u3001\u5224\u65ad\u9898:
1.\u4e00\u4e2a\u6570\u589e\u52a020%\u540e\u518d\u51cf\u5c1120%\uff0c\u8fd9\u4e2a\u6570\u7684\u5927\u5c0f\u4e0d\u53d8｡( )
2.\u516d\u4e8c\u73ed\u7537\u751f\u4eba\u6570\u662f\u5973\u751f\u4eba\u6570\u7684 \uff0c\u5973\u751f\u4eba\u6570\u5360\u5168\u73ed\u4eba\u6570\u768440%｡( )
3.\u67d0\u5546\u5e97\u641e\u4fc3\u9500\u6d3b\u52a8\uff0c\u4e00\u4ef61000\u5143\u7684\u7fbd\u7ed2\u670d\u6309\u516b\u6298\u4f18\u60e0｡\u5982\u679c\u738b\u8001\u5e08\u6709\u8be5\u5546\u5e97\u7684\u8d35\u5bbe\u5361\uff0c\u53ef\u4ee5\u518d\u6253\u4e5d\u4e94\u6298\uff0c\u5979\u4e70\u8fd9\u4ef6\u7fbd\u7ed2\u670d\u53ea\u4ed8760\u5143｡( )
4.\u4e00\u5bb6\u4fdd\u9669\u516c\u53f8\u53bb\u5e74\u5168\u5e74\u7684\u8425\u4e1a\u989d\u662f6.2\u4ebf\u5143｡\u5982\u679c\u6309\u8425\u4e1a\u989d\u76845%\u7f34\u7eb3\u8425\u4e1a\u7a0e\uff0c\u53bb\u5e74\u5e94\u7f34\u7eb3\u8425\u4e1a\u7a0e0.31\u4ebf\u5143｡( )
\u56db\u3001\u7b97\u4e00\u7b97
1.\u76f4\u63a5\u5199\u51fa\u8ba1\u7b97\u7ed3\u679c｡
50\u00d70.2%= 1+25%= 2\u00f7125%=
20%\u00d75%= 30%\u00d750%= 25\u00f762.5%
2.\u89e3\u65b9\u7a0b｡
0.25+25%x=1.5 x-20%x=40 x+ x=
3.\u7528\u9012\u7b49\u5f0f\u8ba1\u7b97｡
80+80\u00d725% (1-30%)\u00d720%
50\u00f7(1-20%) 1.3\u00d735%+87%\u00f7
\u4e94\u3001\u770b\u56fe\u5217\u5f0f\u8ba1\u7b97｡｡
80%
\u591a20%
60\u5343\u514b
120\u5343\u7c73
\u516d\u3001\u5e94\u7528\u9898｡
1.\u4e1c\u98ce\u7535\u52a8\u8f66\u5382\u53bb\u5e74\u7b2c\u4e00\u5b63\u5ea6\u8ba1\u5212\u751f\u4ea7\u7535\u52a8\u8f661200\u8f86\uff0c\u5b9e\u9645\u591a\u751f\u4ea7\u4e8696\u8f86｡\u5b9e\u9645\u5b8c\u6210\u4e86\u8ba1\u5212\u7684\u767e\u5206\u4e4b\u51e0\uff1f
2.\u6559\u80b2\u50a8\u84c4\u6240\u5f97\u7684\u5229\u606f\u4e0d\u987b\u7eb3\u7a0e｡\u5434\u8001\u5e08\u5b58\u4e865\u4e07\u51433\u5e74\u671f\u7684\u6559\u80b2\u50a8\u84c4\uff0c\u5e74\u5229\u606f\u662f5.22%｡\u5230\u671f\u540e\uff0c\u53ef\u4ee5\u4ece\u94f6\u884c\u53d6\u5f97\u672c\u91d1\u548c\u5229\u606f\u4e00\u5171\u591a\u5c11\u5143\uff1f
3.\u9ec4\u677e\u6309\u516b\u4e94\u6298\u4f18\u60e0\u7684\u4ef7\u683c\u4e70\u4e864\u5f20\u6e38\u4e50\u56ed\u95e8\u7968\uff0c\u4e00\u5171\u7528\u53bb340\u5143｡\u6bcf\u5f20\u6e38\u4e50\u56ed\u95e8\u7968\u7684\u539f\u4ef7\u662f\u591a\u5c11\u5143\uff1f
4.\u9ec4\u8001\u5e08\u7684\u6708\u5de5\u8d44\u662f2500\u5143\uff0c\u5982\u679c\u6309\u4e2a\u4eba\u6240\u5f97\u7a0e\u6cd5\u89c4\u5b9a:\u6bcf\u6708\u6536\u5165\u6263\u96642000\u5143\u540e\u7684\u4f59\u989d\u90e8\u5206\uff0c\u6309\u4e0b\u9762\u7684\u6bd4\u4f8b\u7f34\u7eb3\u4e2a\u4eba\u6240\u5f97\u7a0e｡\u9ec4\u8001\u5e08\u6bcf\u6708\u5e94\u7f34\u7eb3\u4e2a\u4eba\u6240\u5f97\u7a0e\u591a\u5c11\u5143\uff1f
5.\u5546\u5e97\u91cc\u4e00\u652f\u5706\u73e0\u7b14\u7684\u4ef7\u94b1\u662f\u4e00\u652f\u94a2\u7b14\u4ef7\u94b1\u768430%\uff0c\u5f20\u534e\u8d2d\u4e70\u4e861\u652f\u94a2\u7b14\u548c1\u652f\u5706\u73e0\u7b14\u5171\u82b1\u53bb6.5\u5143\uff0c\u8bf7\u95ee\u4e00\u652f\u94a2\u7b14\u548c\u4e00\u652f\u5706\u73e0\u7b14\u5404\u591a\u5c11\u94b1\uff1f
6.\u5efa\u8bbe\u4e61\u4eca\u5e74\u690d\u6811414\u4e07\u68f5\uff0c\u6bd4\u53bb\u5e74\u589e\u52a0\u4e8615%\uff0c\u53bb\u5e74\u690d\u6811\u591a\u5c11\u4e07\u68f5\uff1f
7.\u84dd\u9cb8\u6bcf\u5c0f\u65f6\u6e38\u7684\u901f\u5ea6\u662f\u6d77\u8c5a\u7684 \uff0c\u6b63\u597d\u6bd4\u6d77\u8c5a\u5feb10\u5343\u7c73｡\u84dd\u9cb8\u548c\u6d77\u8c5a\u6bcf\u5c0f\u65f6\u5404\u53ef\u4ee5\u6e38\u591a\u5c11\u5343\u7c73\uff1f
解：假定混合后浓度为m，甲乙两瓶酒精溶液的质量比：
甲：乙=（m+14%-m):(m-m-7%)=14:7=2:1
设比的一份为x
(200+450)/3x-200/x=7%
x=5000/3
650÷5000/3=0.13=13%
设混合后的浓度为x，那么甲原来的浓度x-7%,乙原来的浓度为x+14%,现在的混合溶液为：（200+450）/x, 原来甲的溶液为：200/(x-7%)克，乙的溶液为450/(x+14%)：
（200+450）/x=200/(x-7%) +450/(x+14%)
650/x=200/(x-0.07) +450/(x+0.14)
650(x-0.07)(x+0.14)=200x(x+0.14)+450x(x-0.07)
650(x^2+0.07x-0.0098)=200x^2+28x+450^2-31.5x
650^2+45.5x-6.37=200x^2-3.5x+450x^2
650x^2-200x^2-450^2+45.5x+3.5x=6.37
49x=6.37
x=0.13
x=13%
答：混合后的浓度是13%。
验算：混合溶液：（200+450）/13%=5000克
甲原来的溶液：200/(13%-7%)=200/0.06=3333.33克
乙原来的溶液：450/(13%+14%)=450/0.27=1666.67克
甲加上乙：3333.33+1666.67=5000克
成立。
设甲浓度x%.乙y%.固y%=x%+21%.
甲溶液:200/x%
乙溶液:450/(x%+21%)
混合浓度:650/(甲溶液+乙溶液)
混合溶液：x%+7%
把最后两个联立等式就搞定了
设甲乙溶液的总重分别为X,Y
则甲乙浓度分别为200/X,450/Y
混合后的浓度比原来甲瓶浓度高7%，比原来乙瓶浓度低14%推出
650/(X+Y)-200/X=7%
650/(X+Y)-450/Y=-14%
设甲乙溶液的总重分别为X,Y
则甲乙浓度分别为200/X,450/Y
混合后的浓度比原来甲瓶浓度高7%，比原来乙瓶浓度低14%推出
650/(X+Y)-200/X=7%
650/(X+Y)-450/Y=-14%
求出X，Y后650/(X+Y)即为所求
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