问题 解答题
某商场经销甲、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.
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
(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的活动.
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的一次性付款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)
答案

(1)设购进甲、乙两种商品分别为x件,(100-x)件,根据题意得

15x+35(100-x)=2700

解得x=40

则100-40=60

答:甲种商品40件,乙种商品60件.

(2)设该商场进甲种商品a件,则购进乙种商品(100-a)件,根据题意得

(20-15)a+(45-35)(100-a)≥750

(20-15)a+(45-35)(100-a)≤760

因此,不等式组的解集为48≤a≤50.

根据题意得值应是整数,所以a=48或a=49或a=50

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.

(3)根据题意得

第一天只购买甲种商品不享受优惠条件,

∴200÷20=10件

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,324÷90%÷45=8件;

情况二:购买乙种商品打八折,324÷80%÷45=9件.

一共可购买甲、乙两种商品10+8=18件或10+9=19件.

单项选择题 A1/A2型题
单项选择题

Recently, I flew to Las Vegas to attend a meeting. As we were about to arrive, the pilot announced with apology that there would be a slight (16) before setting down. High desert winds had (17) the airport to close all but one runway. He said that we would be (18) the city for a few minutes waiting to (19) . We were also told to remain in our seats meanwhile with our seat belts fastened (20) there might be a few bumps(颠簸). Well, that few minutes turned into about four-five minutes, including a ride that would make a roller coaster(过山车) (21) by comparison. The movement was so fierce that several passengers felt (22) and had to use airsickness bags. As you might guess, that’ s not a good thing to have happen in a(n) (23) space because it only (24) to increase the discomfort of the situation.
About twenty minutes into the adventure, the entire airplane became very (25) There was now a sense of anxiety and fear that could be (26) noticed. Every passenger simply held on for dear life …except one. A (27) was having a good time! With each bump of the (28) , he would let out a giggle (咯咯地笑)of delight. As I observed this, I (29) that he didn’t know he was supposed to be afraid and worried about his (30) . He neither thought about the past nor about the future. Those are what we gown--ups have learned from (31) . He was (32) the ride because he had not yet been taught to fear it. Having understood this, I took a deep breath and (33) back into my seat, pretending I was (34) on a roller coaster. I smiled for the rest of the flight. I even (35) to giggle once or twice, much to the chagrin(随恼) of the man sitting next to me holding the airsickness bag.

The passage starts with an elephant story in order to explain that in India ______.

A.people easily fall victim to elephants’ attacks

B.the man-elephant relationship is getting worse

C.elephant tamers are in short supply

D.dogs are as powerful as elephants