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
33
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
Itseemstobealawinthetechnologyindustrythatleadingcompaniesevent
TheUSCongressA)TheUScongressisthelegislativebranchofthefede
Therespondentworkson______[br][originaltext]AExcuseme,I’msorrytoboth
提高旅游宏观经济效益的途径有()。A.改革落后的旅游经济管理体制 B.提高
对固体电介质,施加下列电压,其中击穿电压最低的是( )。A.直流电压 B
下列属于静脉注射羟丁酸钠后的生理反应的是:2018年常德市事业单位公开招聘临床岗
你兴致勃勃的讲课,有同学站起来说你讲错了,你怎么办?
患者男,18岁。饭后剧烈运动后突然出现剧烈腹痛,向腰背部放射,呕吐,应考虑为A.
应付账款账户的期初余额为贷方10万元,本期偿还借款2万元,该账户的期末余额为(
(2018年真题)刘某因买卖合同纠纷向法院起诉,要求被告冯某履行合同并承担违约责
最新回复
(
0
)