首页
登录
职称英语
Tami purchased several identically priced metal frames and several identically p
Tami purchased several identically priced metal frames and several identically p
游客
2024-01-13
78
管理
问题
Tami purchased several identically priced metal frames and several identically priced wooden frames for a total pretax price of $144. What was the total pretax price of the metal frames that Tami purchased?
(1) The price of each metal frame was 60% greater than the price of each wooden frame.
(2) Tami purchased twice as many wooden frames as metal frames.
选项
A、Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B、Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C、BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D、EACH statement ALONE is sufficient.
E、Statements (1) and (2) TOGETHER are NOT sufficient.
答案
C
解析
Let m and w, respectively, be the number of metal frames and wooden frames that Tami purchased, and let M and W, respectively, be their individual prices in dollars. We are given that mM+ wW=144. What is the value of mM?
(1) Given that M= 1.6W= 8W/5, or W= 5W/8, we have mM+ w (5W/8) =144. Although it might seem there is not enough information to determine the value of mM, keep in mind that we are only seeking the value of the product mM, and not the individual values of m and M. Also, there are several implicit constraints involved, such as each of M and W must be a positive number less than 144 and each of m and w must be a positive integer. To see that more than one value of mM is possible, it will be convenient to specify a particular value for w, for example,
w= 16. Then mM+w(5W/8)=144
becomes mM= 144 - 10M, and non-sufficiency is now straightforward. If w = 16 and M= 4, then mM= 104. However, if w = 16 and M= 8, then mM= 64; NOT sufficient.
(2) Given that w = 2m, we have mM+ (2m)W= 144, or mM= 144 - 2mW. If m = 10 and W= 4, then mM= 64. However, if m = 10 and W= 5, then mM= 44; NOT sufficient.
Given (1) and (2), we have W= 5M/8 and w = 2m.
Therefore, mM+ wW= 144 becomes
mM+{2m)(5M/8)=144,or(1+5/4)mM=144,and hence the value of mM can be determined.
The correct answer is C;
both statements together are sufficient.
转载请注明原文地址:https://tihaiku.com/zcyy/3360179.html
相关试题推荐
Inrecentyears,severalcompanieshavedevelopednewEnglishlanguageteststha
Thenoticewaswritteninseverallanguages______foreigntouristsshouldmisunde
Thenoticewaswritteninseverallanguages_________foreigntouristsshouldmisu
Wesubstitutefish_________meatseveraltimesaweek.A、forB、toC、withD、andAsu
Hetriedseveraltimestopasstheexam.________theend,hesucceeded.A、OnB、In
Ihavebeenlookingforthisbookforseveralweeks,and________Ihavefoundit.
Tamipurchasedseveralidenticallypricedmetalframesandseveralidenticallyp
Patriciapurchasedxmetersoffencing.Sheoriginallyintendedtouseallofth
Amerchantpurchasedajacketfor$60andthendeterminedasellingpricethate
Excessinventory,amassiveproblemformanybusi-nesses,hasseveralcauses,s
随机试题
ReadthearticlebelowaboutMarcHooper,CEOoftheconfectionerygroupSpa
Juicemaybetasty,butit’snotreallythatnourishing.Whileorangejuice
[originaltext]A21.4-billionHKdollar(2.74billionUSdollars)surplusha
[originaltext]W:Caroltoldusonthephonenottoworryabouther.Herleftle
民事法律行为的实质要件包括( )。 ①行为人具有相应的民事行为能力 ②意
夏季小儿腹泻的病原体主要是()。A.致病性大肠杆菌 B.金黄色葡萄球菌 C
食管癌出现背痛时常表示癌肿A.累及肺脏 B.侵犯纵隔 C.纵隔淋巴结转移
根据《宪法》和法律的规定,关于国家机构,下列哪些选项是正确的?()A.全国人民
案例八: 一般资料:求助者,男性,24岁,硕士研究生。 案例介绍:求助者是
某医院欲新建一办公大楼,该办公大楼由某城建集团承包建造,则施工许可证应由()申
最新回复
(
0
)