摘要：青青商场经销甲.乙两种商品.甲种商品每件进价15元.售价20元,乙种商品每件进价35元.售价45元． (1)若该商场同时购进甲.乙两种商品共100件恰好用去2700元.求能购进甲.乙两种商品各多少件? (2)该商场为使甲.乙两种商品共100件的总利润(利润=售价进价)不少于750元.且不超过760元.请你帮助该商场设计相应的进货方案, (3)在“五·一 黄金周期间.该商场对甲.乙两种商品进行如下优惠促销活动: 打折前一次性购物总金额 优惠措施 不超过300元 不优惠 超过300元且不超过400元 售价打九折 超过400元 售价打八折 按上述优惠条件.若小王第一天只购买甲种商品一次性付款200元.第二天只购买乙种商品打折后一次性付款324元.那么这两天他在该商场购买甲.乙两种商品一共多少件?(通过计算求出所有符合要求的结果) 解:(1)设该商场能购进甲种商品件.根据题意.得 ··························································································· 1分 乙种商品:(件)··················································································· 1分 答:该商品能购进甲种商品40件.乙种商品60件． (2)设该商场购进甲种商品件.则购进乙种商品件．根据题意.得 ······································································· 1分 因此.不等式组的解集为········································································· 1分 根据题意.的值应是整数.或或 该商场共有三种进货方案: 方案一:购进甲种商品48件.乙种商品52件. 方案二:购进甲种商品49件.乙种商品51件. 方案三:购进甲种商品50件.乙种商品50件．···························································· 1分 (3)根据题意.得 第一天只购买甲种商品不享受优惠条件 (件)·································· 1分 第二天只购买乙种商品有以下两种情况: 情况一:购买乙种商品打九折.(件) 情况二:购买乙种商品打八折.(件) 一共可购买甲.乙两种商品(件)··························································· 1分 或(件)····································································································· 1分 答:这两天他在该商场购买甲.乙两种商品一共18件或19件．

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