“五一”假期期间,某学校计划组织385名师生租车旅游,现知道租车公司有42座和60座两种客车,42座客车的租金每辆为320元,60座客车的租金每辆为460元.
(1)若学校只租用42座客车或者只租用60座客车,那么学校各需多少租金?
(2)若学校同时租用这两种客车共8辆(可以坐不满),而且要比单独只租用一种车辆节省租金.请你帮助该学校选择一种最节省的租车方案.
正确答案及解析
正确答案
解析
解:(1)385÷42≈9.2,所以单独租用42座客车需10辆,租金为320×10=3200(元).385÷60≈6.4,所以单独租用60座客车需7辆,租金为460×7=3220(元).
(2)设租用42座客车x辆,则60座客车(8-x)辆,由题意得,
解得3.4≤x≤5.3.
由于x取整数,所以x=4或5.
当x=4时,租金为320×4+460×(8-4)=3120(元);
当x=5时,租金为320×5+460×(8-5)=2980(元).
故租用42座客车5辆,60座客车3辆,租金最少.
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