Last visit was: 03 Nov 2024, 14:57 It is currently 03 Nov 2024, 14:57
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.
Close
Request Expert Reply
Confirm Cancel
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 31 Dec 1969
Posts: 96,505
Own Kudos:
Given Kudos: 87,899
Products:
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 96,505
Kudos: 673,789
 [29]
1
Kudos
Add Kudos
28
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
BrentGMATPrepNow
User avatar
GMAT Club Legend
Joined: 12 Sep 2015
Last visit: 13 May 2024
Posts: 6,790
Own Kudos:
31,801
 [9]
Given Kudos: 799
Location: Canada
Expert reply
Posts: 6,790
Kudos: 31,801
 [9]
6
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
General Discussion
User avatar
Siak0730
User avatar
Kellogg School Moderator
Joined: 25 Aug 2015
Last visit: 06 Oct 2024
Posts: 65
Own Kudos:
93
 [1]
Given Kudos: 81
Location: India
Schools: ISB '25 (A)
GMAT Focus 1: 655 Q85 V82 DI80
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q47 V34
GPA: 3.0
Schools: ISB '25 (A)
GMAT Focus 1: 655 Q85 V82 DI80
GMAT 1: 640 Q50 V26
GMAT 2: 660 Q47 V34
Posts: 65
Kudos: 93
 [1]
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
User avatar
Archit3110
User avatar
GMAT Club Legend
Joined: 18 Aug 2017
Last visit: 03 Nov 2024
Posts: 8,102
Own Kudos:
4,413
 [2]
Given Kudos: 243
Status:You learn more from failure than from success.
Location: India
Concentration: Sustainability, Marketing
GMAT Focus 1: 545 Q79 V79 DI73
GPA: 4
WE:Marketing (Energy)
Products:
GMAT Focus 1: 545 Q79 V79 DI73
Posts: 8,102
Kudos: 4,413
 [2]
1
Kudos
Add Kudos
1
Bookmarks
Bookmark this Post
rate per orange ; 8/32 ; 1/4 and rate per gf = 7/20
so for a box of both price ; 8.5 $
which contains ; 1/4 * oranges + 7/20 * gf
and given o=2*gf
so
8.5 = 1/4*2*gf + 7/20 * gf
solve for gf = 10
OPTION D


Bunuel
A certain organization sells boxes of 32 oranges for $8.00 per box, boxes of 20 grapefruit for $7.00 per box, and combination boxes of oranges and grapefruit for $8.50 per box. If the unit price of each kind of fruit is independent of the kind of box in which it is packed and if each combination box contains twice as many oranges as grapefruit, how many grapefruit must be in a combination box?

A. 6
B. 7
C. 8
D. 10
E. 17


PS20477
User avatar
NitishJain
User avatar
IESE School Moderator
Joined: 11 Feb 2019
Last visit: 24 Oct 2023
Posts: 270
Own Kudos:
Given Kudos: 53
Posts: 270
Kudos: 181
Kudos
Add Kudos
Bookmarks
Bookmark this Post
D

32 oranges price --- $8
1 orange price ------1/4

20 grapefruit price---- $7
1 grapefruit price---------7/20

Combination Box:
orange = 2 graprefruit
o =2g;

Also; No of oranges * price of one orange + No of grapefruit * price for one grapefruit = $8.5

o*(1/4) + g*(7/20) = 85/10
2g(1/4) + g*(7/20) = 85/10

2g(5/20) + g*(7/20) = 85/10
17g/20 = 85/10
g= 10
avatar
anniaustin
Joined: 18 Dec 2019
Last visit: 03 May 2022
Posts: 27
Own Kudos:
Given Kudos: 16
Posts: 27
Kudos: 8
Kudos
Add Kudos
Bookmarks
Bookmark this Post
1 orange costs = $8/32 = $0.25
1 grapefruit costs = $7/20 = $0.35
Let number of grapefruit in a combination box = g
Therefore, (0.25*2g) + (0.35*g) = 8.50
Solving for g,
g=10

Answer: D
User avatar
EgmatQuantExpert
User avatar
e-GMAT Representative
Joined: 04 Jan 2015
Last visit: 02 Apr 2024
Posts: 3,699
Own Kudos:
Given Kudos: 165
Expert reply
Posts: 3,699
Kudos: 18,088
Kudos
Add Kudos
Bookmarks
Bookmark this Post

Solution



Given
In this question, we are given that
    • A certain organization sells
      o boxes of 32 oranges for $8.00 per box
      o boxes of 20 grapefruit for $7.00 per box
      o combination boxes of oranges and grapefruit for $8.50 per box

    • Each combination box contains twice as many oranges as grapefruit

To find
We need to determine
    • The number of grapefruits in a combination box

Approach and Working out
    • Cost of 1 orange = 8/32 = $0.25
    • Cost of 1 grapefruit = $7/20
    • Thus, $8.5 = 0.25(2x) + 7x/20 (where x represents the number of grapefruits in a combination box)
      o Implies, x = 10

Therefore, Option D is the correct answer.

Correct Answer: Option D
User avatar
ScottTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 14 Oct 2015
Last visit: 02 Nov 2024
Posts: 19,684
Own Kudos:
Given Kudos: 287
Status:Founder & CEO
Affiliations: Target Test Prep
Location: United States (CA)
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 19,684
Kudos: 23,720
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel
A certain organization sells boxes of 32 oranges for $8.00 per box, boxes of 20 grapefruit for $7.00 per box, and combination boxes of oranges and grapefruit for $8.50 per box. If the unit price of each kind of fruit is independent of the kind of box in which it is packed and if each combination box contains twice as many oranges as grapefruit, how many grapefruit must be in a combination box?

A. 6
B. 7
C. 8
D. 10
E. 17


We see that oranges cost 8/32 = $0.25 each and a grapefruit costs 7/20 = $0.35. If we let x = the number of grapefruit in a combination box, then 2x = the number of oranges in a combination box, and we can create the equation:

0.25(2x) + 0.35x = 8.5

0.5x + 0.35x = 8.5

0.85x = 8.5

x = 10

Answer: D
User avatar
Basshead
Joined: 09 Jan 2020
Last visit: 07 Feb 2024
Posts: 943
Own Kudos:
Given Kudos: 432
Location: United States
Posts: 943
Kudos: 245
Kudos
Add Kudos
Bookmarks
Bookmark this Post
\(\frac{8}{32} = 0.25\) per orange
\(\frac{7}{20} = 0.35\) per grapefruit

A combination box = $8.50

\(0.25(2x) + 0.35(x) = 8.50\)

\(0.5x + 0.35x = 8.50\)

\(0.85x = 8.50\)

\(x = 10\)

Answer is D.
User avatar
MathRevolution
User avatar
Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Last visit: 27 Sep 2022
Posts: 10,126
Own Kudos:
Given Kudos: 4
GMAT 1: 760 Q51 V42
GPA: 3.82
Expert reply
GMAT 1: 760 Q51 V42
Posts: 10,126
Kudos: 17,599
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Oranges: O
Grapefruit: G


Combination box: G + O = $8.50

=> G * \(\frac{7}{20}\) + O * \(\frac{8}{32}\) = 8.50

=> Since, O = 2G

=> G * \(\frac{7}{20}\) + 2G * \(\frac{8}{32}\) = 8.50

=> \(\frac{(7G)}{(20)}\) + \(\frac{(8G)}{(16)}\) = 8.50

=> \(\frac{[28G + 40G] }{ 80}\) = 8.50

=> 68G = 8.50 * 80 = 680

=> G = \(\frac{680}{68}\) = 10

Answer D
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 35,345
Own Kudos:
Posts: 35,345
Kudos: 902
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderator:
Math Expert
96505 posts