[問題]GWD25-8

[amyliang]

Q8
A department manager distributed a number of pens, pencils,
and pads among the staff in the department, with each staff
member receiving x pens, y pencils, and z pads. How many
staff members were in the department?
(1) The numbers of pens, pencils, and pads
that each staff member received were in
the retio 2:3:4, respectively.
(2) The manager distributed a total of
18 pens, 27 pencils, and 36 pads.
Ans:E

條件(2)就應該可以知道how many staffin this deparment不是嗎?
因為 with each staff member receiving x pens, y pencils, and z pads
不是嗎??? 為什麼答案E咧???

[nemolee]

條件(2)只是說了這位總務經理一共全部分配了18 pens, 27 pencils, and 36 pads
題目沒給員工要分別拿幾枝pens? 幾枝 pencils? 幾本 pads?　
推不出有幾位員工? 所以(2)條件不充份
(1)只給比率，推不出人數
選 E

[amyliang]

那為什麼(1)+(2)不行咧????
都給了比率了...

[nemolee]

(1) + (2)
可以只分給1人，則這1人就有18隻pens, 27 penclis , 36 pads , 18:27:36 = 2:3:4
也可以分給3人，每人得6隻pens, 9 pencils, 12 個pads..., 6:9:12 = 2:3:4
也可以分給 9人，每人得 2隻pens, 3 penclis, 4 pads..., 2:3:4
所以到底是分給幾人，這部門有幾人，不確定哩..
就(E)給它選下去吧...