BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

bottles of juice

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

bottles of juice

by sanju09 » Wed Mar 04, 2009 4:28 am
A convenience store sells small bottles of juice for $2 each and large bottles of juice for $3 each. Ciara bought 8 bottles of juice at this store and paid $18. Some of the bottles of juice that she bought were large, and the rest were small. How many small bottles of juice did Ciara buy?

(A) Two
(B) Three
(C) Four
(D) Five
(E) Six
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Source: — Problem Solving |
Master | Next Rank: 500 Posts
Posts: 392
Joined: Thu Jan 15, 2009 12:52 pm
Location: New Jersey
Thanked: 76 times

by truplayer256 » Wed Mar 04, 2009 5:10 am
Option E is correct.

3x+2(8-x)=18
3x+16-2x=18
x=2

Number of small bottles that Ciara bought=8-x=8-2=6
Top
Senior | Next Rank: 100 Posts
Posts: 88
Joined: Tue Mar 03, 2009 8:10 am
Thanked: 3 times

by quocbao » Wed Mar 04, 2009 7:59 am
The correct answer is E,

I nearly choose B at the beginning because I forgot she bought total of 8 bottles
Top
Master | Next Rank: 500 Posts
Posts: 106
Joined: Wed Feb 04, 2009 6:09 am
Location: Louisville, KY
Thanked: 8 times

Re: bottles of juice

by marcusking » Wed Mar 04, 2009 8:42 am
sanju09 wrote:A convenience store sells small bottles of juice for $2 each and large bottles of juice for $3 each. Ciara bought 8 bottles of juice at this store and paid $18. Some of the bottles of juice that she bought were large, and the rest were small. How many small bottles of juice did Ciara buy?

(A) Two
(B) Three
(C) Four
(D) Five
(E) Six

$3(8-s) + $2s=$18
$24 - $3s + $2s=$18
-s = -6
s = 6 small bottles

Please start posting the OA
Top
User avatar
Senior | Next Rank: 100 Posts
Posts: 49
Joined: Fri Feb 27, 2009 12:41 am
Thanked: 44 times
Followed by:3 members

Re: bottles of juice

by kamu » Wed Mar 04, 2009 10:52 am
sanju09 wrote:A convenience store sells small bottles of juice for $2 each and large bottles of juice for $3 each. Ciara bought 8 bottles of juice at this store and paid $18. Some of the bottles of juice that she bought were large, and the rest were small. How many small bottles of juice did Ciara buy?

(A) Two
(B) Three
(C) Four
(D) Five
(E) Six
Hi sanju09,

Thanks for posting so many questions.
But please Post the OAs too.
And if possible also the difficulty level or at least the time you took to solve these.

Thanks. :D
Top
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

Re: bottles of juice

by sanju09 » Thu Mar 05, 2009 3:12 am
kamu wrote:
sanju09 wrote:A convenience store sells small bottles of juice for $2 each and large bottles of juice for $3 each. Ciara bought 8 bottles of juice at this store and paid $18. Some of the bottles of juice that she bought were large, and the rest were small. How many small bottles of juice did Ciara buy?

(A) Two
(B) Three
(C) Four
(D) Five
(E) Six
Hi sanju09,

Thanks for posting so many questions.
But please Post the OAs too.
And if possible also the difficulty level or at least the time you took to solve these.

Thanks. :D
Sure kamu!

Let l be the number of large bottles of juice Ciara bought, and let s be the number of small bottles of juice she bought. Since Ciara bought a total of 8 bottles of juice, the equation l + s = 8 is true.

The small bottles of juice cost 2 dollars each, and the large bottles of juice cost 3 dollars each. Since Ciara bought l large bottles of juice and s small bottles of juice and paid a total of 18 dollars, the equation 3 l + 2 s = 18 is true.
Since l + s = 8, it is true that l = 8 – s. Substituting this expression for l in 3 l + 2 s = 18 gives 3 (8 – s) + 2 s = 18. Simplifying gives 24 – s = 18, or [spoiler]s = 6[/spoiler]. Thus, Ciara bought six small bottles of juice, which is choice [spoiler](E)[/spoiler].
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 am
Location: India
Thanked: 267 times
Followed by:80 members
GMAT Score:760

Re: bottles of juice

by sanju09 » Thu Mar 05, 2009 3:16 am
sanju09 wrote:
kamu wrote:
sanju09 wrote:A convenience store sells small bottles of juice for $2 each and large bottles of juice for $3 each. Ciara bought 8 bottles of juice at this store and paid $18. Some of the bottles of juice that she bought were large, and the rest were small. How many small bottles of juice did Ciara buy?

(A) Two
(B) Three
(C) Four
(D) Five
(E) Six
Hi sanju09,

Thanks for posting so many questions.
But please Post the OAs too.
And if possible also the difficulty level or at least the time you took to solve these.

Thanks. :D
Sure kamu!

Let l be the number of large bottles of juice Ciara bought, and let s be the number of small bottles of juice she bought. Since Ciara bought a total of 8 bottles of juice, the equation l + s = 8 is true.

The small bottles of juice cost 2 dollars each, and the large bottles of juice cost 3 dollars each. Since Ciara bought l large bottles of juice and s small bottles of juice and paid a total of 18 dollars, the equation 3 l + 2 s = 18 is true.
Since l + s = 8, it is true that l = 8 – s. Substituting this expression for l in 3 l + 2 s = 18 gives 3 (8 – s) + 2 s = 18. Simplifying gives 24 – s = 18, or [spoiler]s = 6[/spoiler]. Thus, Ciara bought six small bottles of juice, which is choice [spoiler](E)[/spoiler].
It should not take any promising aspirant more than 100 seconds to answer such questions; exlanation takes more time than killing, always. It can be taken as a moderate question on real GMAT CAT.
The mind is everything. What you think you become. -Lord Buddha



Sanjeev K Saxena
Quantitative Instructor
The Princeton Review - Manya Abroad
Lucknow-226001

www.manyagroup.com
Top
Post new topic Post Reply
• Page 1 of 1