摘要：某校准备组织290名学生进行野外考察活动.行李共有100件．学校计划租用甲.乙两种型号的汽车共8辆.经了解.甲种汽车每辆最多能载40人和10件行李.乙种汽车每辆最多能载30人和20件行李． (1)设租用甲种汽车辆.请你帮助学校设计所有可能的租车方案, (2)如果甲.乙两种汽车每辆的租车费用分别为2000元.1800元.请你选择最省钱的一种租车方案． 解:(1)由租用甲种汽车辆.则租用乙种汽车辆··········································· 1分 由题意得:·············································································· 4分 解得:········································································································· 5分 即共有2种租车方案: 第一种是租用甲种汽车5辆.乙种汽车3辆, 第二种是租用甲种汽车6辆.乙种汽车2辆．································································ 6分 (2)第一种租车方案的费用为元, 第二种租车方案的费用为元··············································· 7分 第一种租车方案更省费用．

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