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

Redeem
TTP OnDemand GMAT Video Course
Featured Course

Target Test Prep GMAT OnDemand

Scott Woodbury-Stewart’s private virtual classroom — 400 hours of master-class video lessons for the GMAT Focus Edition.

  • 715+ score guarantee — highest in the industry (99th percentile)
  • 52 chapters · 1,500+ lessons · 4,000+ practice questions
  • 400 hours of video · 1,500+ instructor-led HD smartboard lessons
  • 300,000+ students accepted to Harvard, Stanford, Wharton, Booth & Sloan & more
  • 24/7 live support + weekly Zoom office hours with GMAT instructors
  • TTP AI Assist — 24/7 AI-powered virtual tutor for instant help
  • 1,200+ flashcards + AI-powered study assistant & daily calendar
  • OnDemand, LiveTeach & GMAT Bootcamp formats available
  • Also: GRE, SAT Math & Executive Assessment courses
  • MBA Admissions Consulting now available
  • 🏆 2025 EdTech Breakthrough Award: Test Prep Solution Provider of the Year
  • 200,000+ students served
  • 5-day free trial — $0 to start, no auto-billing, cancel anytime
★★★★★ 5.0 (559 reviews)
130-pt guarantee
$0 to start then $127/mo
Start Free 5-Day Trial Read 559 Reviews →

the 8 fruit boxes

Expert replies
Post new topic Post Reply
Previous Topic Next Topic
User avatar
GMAT Instructor
Posts: 3650
Joined: Wed Jan 21, 2009 4:27 amFollowed by: 80 members
Location: India
Thanked: 267 times
GMAT Score:760
by sanju09 » Thu May 13, 2010 6:02 am
A box of apples costs $2, a box of pears costs $3, and a box of plums costs $4. If 8 fruit boxes cost together cost $23, what is the largest possible number of the 8 fruit boxes that contain plums?
(A) 1
(B) 2
(C) 3
(D) 4
(E) 5
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
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Source: — Problem Solving |

GMAT/MBA Expert

User avatar
GMAT Instructor
Posts: 1179
Joined: Sun Apr 11, 2010 9:07 pmFollowed by: 88 members
Location: Milpitas, CA
Thanked: 447 times

by Rahul@gurome » Thu May 13, 2010 6:30 am
Let there be x boxes of apples, y boxes of pears and z boxes of plums.
Then x + y + z = 8
2x + 3y + 4z = 23
Let us put the values of x , y and z in the above equation, 2x + 3y + 4z = 23,
such that z is maximum and x + y + z = 8.
If x = 4, y =1 and z = 3 then 2(4) + 3(1) + 4(3) = 23
So, the largest possible number of 8 fruit boxes that contain plums is 3.

The correct answer is (C).
Rahul Lakhani
Quant Expert
Gurome, Inc.
https://www.GuroMe.com
On MBA sabbatical (at ISB) for 2011-12 - will stay active as time permits
1-800-566-4043 (USA)
+91-99201 32411 (India)
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 610
Joined: Fri Jan 15, 2010 12:33 amFollowed by: 2 members
Thanked: 47 times

by kstv » Thu May 13, 2010 7:15 am
what Rahul@gurome has shown is the std. solution and in 2 mins not many smart solutions will come forth
still
total amount is $ 23
there has to be a box of pears = $ 3 , there cannot be even nos. of pear box
Left with $ 20
Answer options
E) 5 boxes of plums = $ 20 tot 6 boxes and no boxes of apples we need 8
D) 4 boxes of plums = $16 tot. 7 boxes getting close
C) 3 boxes of plums = $ 12 , 4 boxes of apples , tot 8

It is assumed that there should be atleast one box of each fruit.
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Legendary Member
Posts: 759
Joined: Mon Apr 26, 2010 10:15 amFollowed by: 3 members
Thanked: 85 times

by clock60 » Thu May 13, 2010 12:30 pm
slightly detailed method of Rahul@gurome, let us go a little bit far
x+y+z=8
2x+3y+4z=23

multiply 1 st equation by 2 and substract

2x+2y+2z=16
2x+3y+4z=23

y+2z=7, and we need to max z, the largest value for z so y be an integer is 3, and y-1
1+2*3=7
so C
Top
Join the discussion
Log in to postLogin with Googleuse password
QUOTE IN REPLY
Post new topic Post Reply
• Page 1 of 1