首页
登录
职称英语
When 2/9 of the votes on a certain resolution have been counted, 3/4 of those co
When 2/9 of the votes on a certain resolution have been counted, 3/4 of those co
游客
2024-01-13
32
管理
问题
When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of tie resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?
选项
A、11/14
B、13/18
C、4/7
D、3/7
E、3/14
答案
A
解析
For this problem, by assigning carefully chosen numbers to quantities given in the problem, it can be made more concrete and some of the computations with fractions can be avoided.
Since 2/9 of all the votes have been counted and 3/4 of them are for the resolution, 36 (= 9 × 4) would be a good number to use as the total number of votes cast. Since the total count must result in a vote of 2 to 1 against the resolution, 2/3 of all of the votes must be against the resolution. This information can be summarized in the following table.
From the table, it is clear that of the 28 votes still to be counted, 22 must be against the resolution.
Therefore, the fraction of the votes still to be counted that must be against the resolution is 22/28 = 11/14.
In general, letting T represent the total number of votes cast, since the total count must result in a vote of 2 to 1 against the resolution, 2T/3 votes must be against the resolution. The information is
summarized in the following table.
From the table, it is clear that of the 7T/9 votes still to be counted 11T/18 must be against the resolution. Therefore, the fraction of the votes still to be counted that must be against the resolution is
The correct answer is A.
Alternative explanation:
Assign actual numbers to the problem to make the math more concrete. Since we are dealing with — of something and also — of something, we will want our numbers to be convenient. Look for multiples of 36 (9 times 4) for which 2/9 and 1/4 will result in whole numbers. A number that will work well is 180.
Of the 180 votes, 2/9 have been counted.
2/9(180) = 40 votes counted. This means 140 votes have not been counted.
Of those 40 counted votes, 3/4 are in favor. 3/4 (40)= 30 votes in favor (of the 40 counted).
This means 10 votes are not in favor (of the 40 counted).
Looking ahead to the desired end result, in order to achieve a 2:1 ratio against, 1/3 of the votes will be for and 2/3 will be against. Therefore we will need 120 votes against. So far we have 10 votes not in favor.
In order to reach a total of 120 uncounted votes, of the 140 uncounted votes, we will need 110 votes not in favor to combine with the 10 counted votes not in favor.
This is 110/140 or 11/14. The correct answer is A.
转载请注明原文地址:https://tihaiku.com/zcyy/3360151.html
相关试题推荐
Avarietyoffactors______tothefinalresolutionoftheeconomicconflictsbetw
Nomatterwhoyouareorwhereyoucomefrom,onethingiscertain:youarea
Nomatterwhoyouareorwhereyoucomefrom,onethingiscertain:youarea
Customer:______Receptionist:Certainly,doyouhaveareservation?Customer:
Whenpeopletalk,theykeepacertain________fromsomeonetheytalkwith.A、dista
Infact,manystudiesindicatethatafteracertainpoint,anyone’sproductivity
Ourpreferencesforcertaincolorsare______accordingtothepassage.[br]Whi
Ourpreferencesforcertaincolorsare______accordingtothepassage.[br]Whi
Thedegree______youmaintainyourmentalhealthmaydependoncertainsimpleenv
Doyouknowwhataresolutionis?It’sapromise.Mostpromisesaremade【C1】
随机试题
Bobdoesn’tworkhard________inschool.Heisplayingallthetime!A、atallB、in
Whensomebodycalls,firstofall,the【B1】______wouldofferhimacigarette
Inmanycountriesautomobilelicenceplatestaketheformshownhere:oneletter
()系统是用于消防控制室与建/构筑物中各部位,尤其是消防泵房、防排烟机房等与消防
关于大理石的说法中,错误的是()A.云南大理盛产此石故以其命名 B.大理石
下列哪种疟原虫不在人体内寄生( )。A.间日疟病原虫 B.恶性疟原虫 C.
运输供给者是运输市场上的()。A.买者 B.卖者 C.垄断者 D.中介者
整个投资市场的平均收益率为20%,国债的收益率为10%,房地产投资市场相对于整个
就研究内容来说,弗里德曼的现代货币数量说是()。A.关于流动性偏好的理论 B
氰化物中毒抑制的是( )。A.细胞色素b B.细胞色素c C.细胞色素c1
最新回复
(
0
)