Kim and Sue each bought some roses and some daisies at the prices show

Kim -> a (no of roses) + b (no of daises)
Sue -> c (no of roses) + d (no of daises)

given: \(a + b = c + d\) (as kim and sue bought same total number of flowers)
question: \(a + 0.5 * b > c + 0.5 * d\) ?
=> \(2a + b > 2c + d\) ? (multiplied by 2)
=> \(a + a + b > 2c + d\) ?
=> \(a + c + d > 2c + d\) (as \(a + b = c + d\))
=> \(a > c\) ?
question is simplified: Did kim bought more number of roses than sue bought ?

Statement 1: Kim bought twice as many daisies as roses
=> \(b = 2a\) , but we want to find if \(a > c\) ? no idea about sue => InSufficient

Statement 2: Kim (\(a\)) bought 4 more roses than Sue (\(c\)) bought => directly answers our simplified question = Answer (B)

hi,

two things - roses and daisies - are involved, in which roses cost more than daisies.
Now K and S purchase same number of flowers (roses and daisies).

so since the roses cost more, anyone who has purchased MORE roses as compared to the other will have spent more money..

let's see the statements..

(1) Kim bought twice as many daisies as roses
nothing about what S has bought..
If S purchased say equal number of roses and daisies, S spent more
If S purchased say THRICE as many daisies as roses, K spent more as he bought more roses as compared to K
Insuff

(2) Kim bought 4 more roses than Sue bought
This is what we were looking for.
so K bought 4 more roses, thus spent 4*(1-0.5)=$2 more
suff

B
_________________

Since they bought the same total number of flowers, and roses are more expensive than daisies per flower, the person who purchased more roses spent more money than the other person.
So, the question becomes this: Did Kim purchase more roses than Sue did? If yes, then Kim spent more money than Sue did. If not, then Kim spent less money than Sue did.

Statement One Alone:
Kim bought twice as many daisies as roses.

Even though we know that Kim bought twice as many daisies as roses, we don’t know anything about the number of roses and the number of daisies Sue bought. Thus, we can’t tell who bought
more roses. Statement one alone is not sufficient.

Statement Two Alone:

Kim bought 4 more roses than Sue bought.

Since Kim bought more roses than Sue did, she also spent more money on the flowers than Sue did. Statement two alone is sufficient.

Answer: B
_________________

From the question stem we are able to get the cost/flower
Rose - 1$ and Daisies - 0.5$
Given the sum of roses and daisies bought by Kim and Sue are the same.

(1) Kim bought twice as many daisies as rose
If the number of roses bought by Kim is x, the number of daisies she bought are 2x
Total number of flowers bought is 3x
Since we have absolutely no idea bout which flowers Sue bought, this statement alone is not sufficient.

(2) Kim bought 4 more roses than Sue bought
If Sue bought x roses, Kim bought x+4 roses.
If the total number of flowers they bought are y,
Sue bought y-x daisies and Kim bought y-x-4 daisies
Since the total flowers bought by both of them is the same,
we can clearly tell that the flowers cost Kim 2$ higher overall. Sufficient (Option B)

B.

We want to know if Kim's total purchase is greater than that of Sue's.

Given: Kim and Sue bought the same total number of flowers.
Price of roses is higher than that of daisies.

Task: In order for Kim's total purchase to be greater than Sue's, either:
a. Kim bought more roses than did Kim.
b. Kim bought fewer daisies than did Kim.

(1) Kim bought twice as many daisies as roses
We do not know about the number of roses Sue bought, thus we cannot know if Sue bought more roses than Kim or not. INSUFFICIENT
(2) Kim bought 4 more roses than Sue bought
Situation a. above. SUFFICIENT.

can anyone please solve statement B

The primary thing to understand here is that the person who buys more roses than the other will have a higher purchase cost. For example, say Kim has 2 extra roses, and given the fact that both of them have equal number of flower, therefore, Sue will have 2 lesser roses, (i.e.) 2 more daisies. In the end, Kim's purchase is $1 more than Sue's.

Statement 1:

No information is given about Sue, so INSUFFICIENT.

Statement 2:

Kim has 4 more roses, therefore, Sue has 4 daisies in that place and hence the net is $4 (Kim) - $2 (Roses) = $2.
Kim's purchase will always be $2 more than Sue's.
SUFFICIENT.

OPTION (B)

Cheers!

From the question Stem:

Kim paid: a + \(\frac{b}{2}\) $ (a and b are number of roses and daises Kim bought respectively)
Sue paid: c + \(\frac{d}{2}\) $ (c and d are number of roses and daises Sue bought respectively)

a+b = c+d

was the price of Kim's purchase of roses and daisies higher than the price of Sue's purchase of roses and daisies meaning did Kim pay more than Sue?
so a + \(\frac{b}{2}\) > c + \(\frac{d}{2}\) ?
or 2a + b > 2c + d?

because a+b = c+d, so we can reduce both sides to get a>c?
If we know the relationship between a and c, we can answer the question.

Statement 1: b = 2a. No c, so INSUFF
Statement2: a-c=4. SUFF

Answer is B

Answer: Option B

Video solution by GMATinsight



Get TOPICWISE: Concept Videos | Practice Qns 100+ | Official Qns 50+ | 100% Video solution CLICK.
Two MUST join YouTube channels : GMATinsight (1000+ FREE Videos) and GMATclub

We're told Kim and Sue purchased the same number of roses + daises. To determine who spent more money, we simply need to determine who purchased more roses.

B tells us Kim purchased more roses, answering our question. We don't know the exact amount spent, but we're not asked to determine that.

Statement 1 is not sufficient because Sue could have purchased the same amount of roses.
_________________

Video solution from Quant Reasoning:
Subscribe for more: https://www.youtube.com/QuantReasoning? ... irmation=1

Kim roses and Kim Daises = KR and KD
Sue roses and Sue Daises = SR and SD
Given, KR + KD = SR + SD
Need to find: \(KR + \frac{1}{2} KD ><= SR + \frac{1}{2} SD\)
Stmt 1:
KD=2KR
Substituting in the given equation:
3KR=SR+SD
Not sufficient

Stmt 2:
KR-SR=4
Substituting in the given equation:
SD-KD=4
We need to find\(KR + \frac{1}{2} KD ><= SR + \frac{1}{2} SD\) OR

\(KR -SR ><= \frac{1}{2} (SD-KD) \)
\(4 > \frac{1}{2} 4\)
so kim's purchase was bigger
Sufficient

Ans. B

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.
_________________