Last visit was: 12 Oct 2024, 17:55 It is currently 12 Oct 2024, 17:55
Decision Tracker
My Rewards
Unanswered
Active Topics
New posts
New comers' posts
Close
GMAT Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel

If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of

SORT BY:
Date
Kudos
Tags:
Difficulty: Sub 505 Level,   Word Problems,               
Find Similar Topics 
Show Tags
Hide Tags
User avatar
L
Bunuel
Math Expert
Joined: 02 Sep 2009
Posts: 96080
Own Kudos [?]: 667547 [10]
Given Kudos: 87605
Send PM
CAT Tests Forum Quiz Mode
If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of [#permalink] If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of   05 Jul 2017, 04:59
10
Bookmarks
Expert Reply
00:00
A
B
C
D
E

Difficulty:

5% (low)

Question Stats:

87% (01:42) correct 13% (02:12) wrong based on 495 sessions
Hide Show DIFFICULTY AND TIMER STATISTICS
If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of 5 sandwiches varies between $10 and $15, then the cost of 4 eggs and 3 sandwiches varies between

(A) $2.15 and $3.20
(B) $2.30 and $3.40
(C) $6.40 and $9.30
(D) $6.30 and $9.40
(E) $9.30 and $12.40
ShowHide Answer
Official Answer
D
User avatar
L
pushpitkc
Joined: 26 Feb 2016
Posts: 2859
Own Kudos [?]: 5462 [4]
Given Kudos: 47
Location: India
GPA: 3.12
Send PM
If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of [#permalink] If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of   05 Jul 2017, 05:08
4
Kudos
Since the cost of 12 eggs varies from 0.9 to 1.2$, cost of 4 eggs will vary from 0.3 to 0.4$
Similarly since cost of 5 sandwiches varies from 10 to 15$, the cost of 3 sandwiches is between 6$ and 9$
This is because the cost of a single sandwich is between 2 and 3$.

Hence the cost of 3 sandwiches and 4 eggs will cost between $6.30 and $9.40(Option D)
User avatar
D
shashankism
Joined: 13 Mar 2017
Affiliations: IIT Dhanbad
Posts: 623
Own Kudos [?]: 616 [2]
Given Kudos: 88
Location: India
Concentration: General Management, Entrepreneurship
GPA: 3.8
WE:Engineering (Energy)
Send PM
Re: If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of [#permalink] If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of   05 Jul 2017, 06:39
2
Bookmarks
Bunuel
If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of 5 sandwiches varies between $10 and $15, then the cost of 4 eggs and 3 sandwiches varies between

(A) $2.15 and $3.20
(B) $2.30 and $3.40
(C) $6.40 and $9.30
(D) $6.30 and $9.40
(E) $9.30 and $12.40

0.90 < 12 eggs < 1.20
Divide by 3
0.30 < 4 eggs < 0.40.................... i

Similarly,
10 < 5 sandwich < 15
Multiply by 3/5
6 < 3 sandwich < 9 ...................... ii

From i and ii , 6.30 < 4 eggs + 3 sandwiches < 9.40

Answer D
User avatar
B
TimeTraveller
Joined: 28 Jun 2015
Posts: 247
Own Kudos [?]: 304 [0]
Given Kudos: 47
Concentration: Finance
GPA: 3.5
Send PM
Re: If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of [#permalink] If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of   05 Jul 2017, 08:10
Cost of 1 egg ranges from = \(\frac{0.9}{12}\) to \(\frac{1.2}{12}\) = \($\frac{3}{40}\) to \($\frac{4}{40}\)

Cost of 1 sandwich ranges from = \(\frac{10}{5}\) to \(\frac{15}{5}\) = \($2\) to \($3\)

So, cost of 4 eggs and 3 sandwiches ranges from \((4*\frac{3}{40}) + (3*2)\) to \((4*\frac{4}{40}) + (3*3) = (\frac{3}{10} + 6)\) to \((\frac{2}{5} + 9) = $6.3\) to \($9.4\).
User avatar
L
Abhishek009
Board of Directors
Joined: 11 Jun 2011
Status:QA & VA Forum Moderator
Posts: 6035
Own Kudos [?]: 4866 [0]
Given Kudos: 463
Location: India
GPA: 3.5
WE:Business Development (Commercial Banking)
Send PM
GMAT ToolKit User
Re: If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of [#permalink] If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of   05 Jul 2017, 08:21
Bunuel
If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of 5 sandwiches varies between $10 and $15, then the cost of 4 eggs and 3 sandwiches varies between

(A) $2.15 and $3.20
(B) $2.30 and $3.40
(C) $6.40 and $9.30
(D) $6.30 and $9.40
(E) $9.30 and $12.40

Given :
Quote:
cost of 12 eggs varies between $0.90 and $1.20

So, The max value of an egg is 0.10 & the minimum value of an egg is 0.075

Given :
Quote:
cost of 5 sandwiches varies between $10 and $15

So, The max value of a sandwich is 2 & the minimum value of an egg is 3

Quote:
then the cost of 4 eggs and 3 sandwiches varies between

Max cost of 4 eggs is 0.40 & Max cost of 3 sandwich is 6 , Total cost is 9.00
Min cost of 4 eggs is 0.30 & Min cost of 3 sandwich is 9 , Total cost is 9.30

So, the range of values is between $6.30 and $9.40, answer will be (D)
User avatar
S
mohshu
Joined: 21 Mar 2016
Posts: 448
Own Kudos [?]: 124 [1]
Given Kudos: 103
Send PM
Reviews Badge
Re: If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of [#permalink] If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of   06 Jul 2017, 01:09
1
Bookmarks
Bunuel
If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of 5 sandwiches varies between $10 and $15, then the cost of 4 eggs and 3 sandwiches varies between

(A) $2.15 and $3.20
(B) $2.30 and $3.40
(C) $6.40 and $9.30
(D) $6.30 and $9.40
(E) $9.30 and $12.40

cost of 12 eggs is ranging from 0.90 to 1.20.
divide the whole thing by 3 gives cost of 4 eggs to range from 0.30 to 0.40....(1)

cost of 5 sandwiches range from 10 to 15
divide the whole thing by 5 gives cost of 1 sandwich range from 2 to 3
cost of 3 sandwich range from 6 to 9......(2)

adding 1 and 2 gives the range 6.3 to 9.4 as the range
User avatar
P
JeffTargetTestPrep
Target Test Prep Representative
Joined: 04 Mar 2011
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Posts: 3032
Own Kudos [?]: 6983 [2]
Given Kudos: 1646
Send PM
Re: If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of [#permalink] If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of   14 Jul 2017, 10:39
2
Kudos
Expert Reply
Bunuel
If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of 5 sandwiches varies between $10 and $15, then the cost of 4 eggs and 3 sandwiches varies between

(A) $2.15 and $3.20
(B) $2.30 and $3.40
(C) $6.40 and $9.30
(D) $6.30 and $9.40
(E) $9.30 and $12.40

We can create the following compound inequalities:

0.9 < 12e < 1.2

Since we want to know the range of 4 eggs, we can divide the inequality by 3 and we have:

0.3 < 4e < 0.4

Next we have:

10 < 5s < 15

Dividing the entire inequality by 5, we have:

2 < s < 3

Multiply the entire inequality by 3, we have:

6 < 3s < 9

Adding the two inequalities together, we have:

6.30 < 4e + 5s < 9.40

Answer: D
User avatar
L
chetan2u
RC & DI Moderator
Joined: 02 Aug 2009
Status:Math and DI Expert
Posts: 11498
Own Kudos [?]: 36752 [0]
Given Kudos: 333
Send PM
Reviews Badge
Re: If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of [#permalink] If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of   04 Jul 2020, 20:29
Expert Reply
Bunuel
If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of 5 sandwiches varies between $10 and $15, then the cost of 4 eggs and 3 sandwiches varies between

(A) $2.15 and $3.20
(B) $2.30 and $3.40
(C) $6.40 and $9.30
(D) $6.30 and $9.40
(E) $9.30 and $12.40


The question is pretty basic and simple, but what matters is how quickly you can do your calculations..

Eggs :
The cost of 12 eggs varies between $0.90 and $1.20, and we are looking for cost of 4 eggs.
You should immediately realize that 12=4*3, so you can directly calculate for 4 eggs rather than calculating for 1 egg first.
12 eggs => 0.90 to 1.20
\(\frac{12}{3 }\) or 4 => \(\frac{0.90}{3}\) to \(\frac{1.20}{3}\), that is 0.3 to 0.4

Sandwiches :
the cost of 5 sandwiches varies between $10 and $15, and we are to find the cost of 3 sandwiches.
We can see that 5 and 3 have no direct relation, so we have to find cost of 1 first.
5 sandwiches => 10 to 15
1 sandwich => 2 to 3
3 sandwiches => 6 to 9

Cost of 4 eggs and 3 sandwiches => 6+0.3 to 9+0.4 => 6.3 to 9.4

D
User avatar
bumpbot
Non-Human User
Joined: 09 Sep 2013
Posts: 35208
Own Kudos [?]: 891 [0]
Given Kudos: 0
Send PM
Re: If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of [#permalink] If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of   06 Aug 2024, 21:49
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.
GMAT Club Bot
gmatclubot
Re: If the cost of 12 eggs varies between $0.90 and $1.20, and the cost of [#permalink]
06 Aug 2024, 21:49
Moderator:
Bunuel
Math Expert
96080 posts