[問題]GWD 05-17

[benetracy]

Q17:
Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, were basic and the rest were deluxe. If it takes 7/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?

A.7/17
B.14/31
C.7/15
D.17/35
E.1/2
答案是A
我想請教的是 it takes 7/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo的意思 謝謝

[汪汪北鼻]

basic要一小時delux要7/5小時

[wangdaven]

假設做一個BASIC要H小時 那麼做一個DELUXE要7/5H小時
又上個月總共做了A個STEREOS
則 [(7/5H)(1/3A)]/[(7/5H)(1/3A)+H(2/3A)]=7/17
A和H都可以約分掉
這是我的做法 就是按題目一字不差的列式
有不同的思路嗎?

[汪汪北鼻]

yes, exactly right

[四季豆]

請問1/3H是怎麼來的呢?
是我眼花嗎?
我怎麼沒看到嘞????
請好心人幫幫忙.
感恩~~

[Winni]

可能是當初貼題目的時候沒貼完整 所以沒有出現2/3的條件。
重新把題目貼在下方供參考：
Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 7/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos?

[yuying]

thanks Winni !!

[chris8888]

yeah,, 應該是這樣 :
Company S produces two kinds of stereos: basic and deluxe. Of the stereos produced by Company S last month, 2/3 were basic and the rest were deluxe. If it takes 7/5 as many hours to produce a deluxe stereo as it does to produce a basic stereo, then the number of hours it took to produce the deluxe stereos last month was what fraction of the total number of hours it took to produce all the stereos ?

A. 7/17
B.14/31
C.7/15
D.17/35
E.1/2

ANS: A