Find all School-related info fast with the new School-Specific MBA Forum

It is currently 30 Jul 2015, 09:32
GMAT Club Tests

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.

Events & Promotions

Events & Promotions in June
Open Detailed Calendar

The only gift certificates that a certain store sold

  Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:
Director
Director
User avatar
Status: No dream is too large, no dreamer is too small
Joined: 14 Jul 2010
Posts: 659
Followers: 37

Kudos [?]: 399 [0], given: 39

The only gift certificates that a certain store sold [#permalink] New post 13 Jun 2011, 10:15
2
This post was
BOOKMARKED
00:00
A
B
C
D
E

Difficulty:

  65% (hard)

Question Stats:

52% (02:18) correct 48% (01:06) wrong based on 99 sessions
The only gift certificates that a certain store sold yesterday were worth either $100 each or $10 each. If the store sold a total of 20 gift certificates yesterday, how many gift certificates worth $10 each did the store sell yesterday?

(1) The gift certificates sold by the store yesterday were worth a total of between $1,650 and $1,800.
(2) Yesterday the store sold more than 15 gift certificates worth $100 each.

Official Guide 12 Question

GMAT Official Guide 12

Question: 30
Page: 25
Difficulty: 750

Find All Official Guide Questions

Video Explanations:


OPEN DISCUSSION OF THIS QUESTION IS HERE: the-only-gift-certificates-that-a-certain-store-sold-134895.html
[Reveal] Spoiler: OA

_________________

Collections:-
PSof OG solved by GC members: http://gmatclub.com/forum/collection-ps-with-solution-from-gmatclub-110005.html
DS of OG solved by GC members: http://gmatclub.com/forum/collection-ds-with-solution-from-gmatclub-110004.html
100 GMAT PREP Quantitative collection http://gmatclub.com/forum/gmat-prep-problem-collections-114358.html
Collections of work/rate problems with solutions http://gmatclub.com/forum/collections-of-work-rate-problem-with-solutions-118919.html
Mixture problems in a file with best solutions: http://gmatclub.com/forum/mixture-problems-with-best-and-easy-solutions-all-together-124644.html

Kaplan Promo CodeKnewton GMAT Discount CodesManhattan GMAT Discount Codes
VP
VP
avatar
Status: There is always something new !!
Affiliations: PMI,QAI Global,eXampleCG
Joined: 08 May 2009
Posts: 1358
Followers: 13

Kudos [?]: 172 [0], given: 10

Re: Gift Certificate [#permalink] New post 13 Jun 2011, 23:29
a number of $100 certificates can be only 17.
for 16, $100 the total value < 1650.
for 18,$100 the total value > 1800.

thus 17 $100 and 3, $10. A sufficient.

b since total value is not known, it can be

16, $100 and 4, $10 or 17 and 3, 18 ,2 and 19, 1. Not sufficient.

A
_________________

Visit -- http://www.sustainable-sphere.com/
Promote Green Business,Sustainable Living and Green Earth !!

1 KUDOS received
Intern
Intern
avatar
Joined: 18 Mar 2013
Posts: 1
Followers: 0

Kudos [?]: 1 [1] , given: 2

Re: The only gift certificates that a certain store sold [#permalink] New post 25 Aug 2013, 06:05
1
This post received
KUDOS
Baten80 wrote:
The only gift certificates that a certain store sold yesterday were worth either $100 each or $10 each. If the store sold a total of 20 gift certificates yesterday, how many gift certificates worth $10 each did the store sell yesterday?

(1) The gift certificates sold by the store yesterday were worth a total of between $1,650 and $1,800.
(2) Yesterday the store sold more than 15 gift certificates worth $100 each.

Official Guide 12 Question

GMAT Official Guide 12

Question: 30
Page: 25
Difficulty: 750

Find All Official Guide Questions

Video Explanations:



I solved this problem as follows :

#of $100 tickets = x
# of $10 tickets = y

x+y = 20
y=?

1) 100x+10y=1650~1800
here I identified this as a Diophantine equation coz we are dealing with integers... ??

100x=1650~1800 - 10y

x=(1650~1800 - 10y )/100
Now, 10y will be some integer not equal to 0 . the maximum value would be somewhere in the range 1800 - 10y which MUST ALSO be a multiple of 100 . The only integer which satisfies the above equation [ x=(1650~1800 - 10y )/100 ] is 1700

therefore x = 17
Expert Post
Math Expert
User avatar
Joined: 02 Sep 2009
Posts: 28769
Followers: 4588

Kudos [?]: 47325 [0], given: 7121

Re: The only gift certificates that a certain store sold [#permalink] New post 25 Aug 2013, 06:14
Expert's post
2
This post was
BOOKMARKED
The only gift certificates that a certain store sold yesterday were worth either $100 each or $10 each. If the store sold a total of 20 gift certificates yesterday, how many gift certificates worth $10 each did the store sell yesterday?

Say the number of $100 certificates sold was \(x\), then the number of $10 certificates sold was \(20-x\).

(1) The gift certificates sold by the store yesterday were worth a total of between $1,650 and $1,800 --> \(1,650<100x+10(20-x)<1,800\) --> \(1,650<90x+200<1,800\) --> \(1,450<90x<1,600\) --> \(145<9x<160\) --> \(16.1<x<17.8\). Since \(x\) is an integer then \(x=17\). Sufficient.

(2) Yesterday the store sold more than 15 gift certificates worth $100 each --> x>15. Clearly insufficient.

Answer: A.

OPEN DISCUSSION OF THIS QUESTION IS HERE: the-only-gift-certificates-that-a-certain-store-sold-134895.html
_________________

NEW TO MATH FORUM? PLEASE READ THIS: ALL YOU NEED FOR QUANT!!!

PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

RESOURCES: [GMAT MATH BOOK]; 1. Triangles; 2. Polygons; 3. Coordinate Geometry; 4. Factorials; 5. Circles; 6. Number Theory; 7. Remainders; 8. Overlapping Sets; 9. PDF of Math Book; 10. Remainders; 11. GMAT Prep Software Analysis ; 12. SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) ; 12. Tricky questions from previous years.

COLLECTION OF QUESTIONS:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS ; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
25 extra-hard Quant Tests

GMAT Club Premium Membership - big benefits and savings

Re: The only gift certificates that a certain store sold   [#permalink] 25 Aug 2013, 06:14
    Similar topics Author Replies Last post
Similar
Topics:
4 Experts publish their posts in the topic If a certain store purchased a computer game and then sold fozzzy 2 17 Jan 2013, 04:18
18 Experts publish their posts in the topic Each gift certificate sold yesterday by a certain bookstore Bunuel 11 08 Oct 2012, 01:49
14 Experts publish their posts in the topic The only gift certificates that a certain store sold Bunuel 10 25 Jun 2012, 01:58
16 Experts publish their posts in the topic Store S sold a total of 90 copies of a certain book during Hussain15 17 06 Dec 2009, 09:40
6 Experts publish their posts in the topic Store S sold a total of 90 copies of a certain book during pierrealexandre77 3 27 Oct 2009, 04:10
Display posts from previous: Sort by

The only gift certificates that a certain store sold

  Question banks Downloads My Bookmarks Reviews Important topics  


GMAT Club MBA Forum Home| About| Privacy Policy| Terms and Conditions| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group and phpBB SEO

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.