问题 解答题

某彩电厂为响应国家家电下乡号召,计划生产A、B两种型号的彩电,两种型号的彩电生产成本和售价分别为:A型每台成本800元,售价1000元,B型每台成本1000元,售价1300元,经预算,彩电厂若投入成本64000元,两种彩电全部出售后,可获利18000元.

(1)请问彩电厂生产A、B两种型号的彩电各多少台?

(2)按国家政策,家电下乡后农民买家电可享受百分之十三的政府补贴,那么该厂生产的两种彩电全部售出后,政府需补贴给农民多少元?

(3)彩电厂计划将这两种彩电售出后获得的全部利润购买两种物品:体育器材和实验设备支援某希望小学.若体育器材每套6000元,实验设备每套3000元,把钱全部用尽且两种物品都购买的情况下,请直接写出所有的购买方案.

答案

(1)设彩电厂生产A、B两种型号的彩电各x台,y台,由题意得:

800x+1000y=64000
(1000-800)x+(1300-1000)y=18000

解得

x=30
y=40

答:A型号彩电30台,B型号彩电40台.

(2)(1300×40+1000×30)×13%=10660(元),

答:政府需补贴给农民10660元;

(3)设购买体育器材a套,实验器材b套,由题意得:

6000a+3000b=18000,

∵a、b为整数,

∴①a=1,b=4;②a=2,b=2.

答:购买方案为:方案1:体育器材1套,实验设备4套;

方案2:体育器材2套,实验设备2套.

阅读理解

 When I was at university,I studied very hard.But a lot of my friends did very little work.Some did just enough to pass exams.Others didn’t do quite enough.Fred Baines was one of them.He spent more time drinking in the Students’ Union than working in the library.

  Once at the end of the term,we had to take an important test in chemistry.The test had a hundred questions. In my room the night before the test,Fred was watching TV.Fred usually worried a lot the night before a test.But on that night he looked perfectly calm.Then he told me of his plan.“It’s very simple.There are a hundred questions and I have to get fifty correct to pass the test.I’ll take a coin into the examination room.I haven’t studied a chemistry book for months,so I’ll just toss the coin.That way,I’m sure I’ll get half the questions right.”

  The next day,Fred came happily into the exam room.As he sat tossing a coin for half an hour he marked down his answers.Then he left,half an hour before the rest of us.

  The next day,he saw the chemistry professor in the corridor.“Oh,good,”he said,“Have you got the result of the test?”The professor looked at him and smiled,“Ah,it’s you,Baines.Just a minute.”Then he reached into his pocket and took out a coin.He threw it into the air,caught it in his hand and looked at it.

  “I’m terribly sorry,Baines,”he said,“You failed!”

小题1:This story mainly wants to tell us ________.

A.chemistry is really hard to learn

B.there were too many questions for students to prepare for

C.good exam results needs hard study

D.tossing a coin can not always decide the result小题2:Fred Baines was one of those who ________.

A.did just enough to pass the exam

B.didn’t work hard enough for their studies

C.had too much other work for the Students’ Union

D.were quite good at passing exams小题3:Fred came happily into the exam room because ________.

A.he had got ready for the exam

B.he knew the answers already

C.the other students would be behind him

D.he had his way to finish the exam小题4:The chemistry exam in fact ________.

A.was not very hard

B.took the other students an hour to finish

C.had more than one hundred questions

D.needed to be done by tossing a coin小题5:The professor tossed the coin to tell Baines that ________.

A.he was satisfied with his way for the exam

B.he wanted to make friends with him

C.his way for the exam would never work

D.the exam result depended on the coin

多项选择题