Summer is Coming! Join the Game of Timers Competition to Win Epic Prizes. Registration is Open. Game starts Mon July 1st.

It is currently 20 Jul 2019, 17:27

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

At a certain pizzeria, 1/8 of the pizzas sold in one week we

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Find Similar Topics 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56304
At a certain pizzeria, 1/8 of the pizzas sold in one week we  [#permalink]

Show Tags

New post 27 Feb 2014, 07:05
18
00:00
A
B
C
D
E

Difficulty:

  25% (medium)

Question Stats:

81% (01:55) correct 19% (02:17) wrong based on 907 sessions

HideShow timer Statistics


The Official Guide For GMAT® Quantitative Review, 2ND Edition

At a certain pizzeria, 1/8 of the pizzas sold in one week were mushroom and 1/3 of the remaining pizzas sold were pepperoni . If n of the pizzas sold were pepperoni, how many were mushroom?

(A) (3/8)n
(B) (3/7)n
(C) (7/16)n
(D) (7/8)n
(E) 3n

Problem Solving
Question: 118
Category: Algebra Simplifying algebraic expressions
Page: 77
Difficulty: 600


GMAT Club is introducing a new project: The Official Guide For GMAT® Quantitative Review, 2ND Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

_________________
Most Helpful Expert Reply
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 56304
Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we  [#permalink]

Show Tags

New post 27 Feb 2014, 07:05
5
10
SOLUTION

At a certain pizzeria, 1/8 of the pizzas sold in one week were mushroom and 1/3 of the remaining pizzas sold were pepperoni . If n of the pizzas sold were pepperoni, how many were mushroom?

(A) (3/8)n
(B) (3/7)n
(C) (7/16)n
(D) (7/8)n
(E) 3n

Say the total number of pizzas sold was 24 (LCM of 8 and 3).

1/8 of the pizzas sold in one week were mushroom --> mushroom = 24*1/8 = 3.
1/3 of the remaining pizzas sold were pepperoni --> pepperoni = (24 - 3)*1/3 = 7 = n.

Now substitute n = 7 into the options to see which one yields 3. Only B fits.

Answer: B.
_________________
General Discussion
Manager
Manager
User avatar
Status: GMATting
Joined: 21 Mar 2011
Posts: 105
Concentration: Strategy, Technology
GMAT 1: 590 Q45 V27
GMAT ToolKit User
Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we  [#permalink]

Show Tags

New post 27 Feb 2014, 21:11
2
1
Let the total no. of pizzas sold be 'T'.

Mushroom pizzas, M = (1/8)T;
Remaining pizzas = (7/8)T;
Pepperoni pizzas = (1/3) * (7/8)T = (7/24)T;

Since, no. of pepperoni pizzas sold is given as n, we can say that n = (7/24)T;
T = 24n/7;

Sub this T in M:
M = (1/8) * 24n/7 = 3n/7.

Ans is (B).
SVP
SVP
User avatar
Status: The Best Or Nothing
Joined: 27 Dec 2012
Posts: 1787
Location: India
Concentration: General Management, Technology
WE: Information Technology (Computer Software)
Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we  [#permalink]

Show Tags

New post 28 Feb 2014, 01:00
1
Answer = (B) (3/7)n

Explaination:

Let total no. of pizza sold = 168

1/8 of the pizzas sold in one week were mushroom, so mushroom pizza = 1/8 . 168 = 21

Remaining pizza = 168 - 21 = 147

1/3 of the remaining pizzas sold were pepperoni, so pepperoni pizza = 147/3 = 49

If 49 implies to n, then 21 implies to 21n/49 = 3n/7
_________________
Kindly press "+1 Kudos" to appreciate :)
Manager
Manager
User avatar
Joined: 25 Sep 2012
Posts: 237
Location: India
Concentration: Strategy, Marketing
GMAT 1: 660 Q49 V31
GMAT 2: 680 Q48 V34
GMAT ToolKit User Reviews Badge
Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we  [#permalink]

Show Tags

New post 28 Feb 2014, 06:46
1
The crux of the question is 1/3 of the remaining pizzas sold were pepperoni

So Lets say Total = x
Mushroom Pizza = m = x/8
Therefore x = 8m
Pepperoni Pizaa = n = (1/3)(7x/8) = 24x/7 [1/8th were mushroon so rest pizzas are 7/8th]
Therefore x= 24n/7

Now 8m = 24n/7
m= 3n/7

Answer B
Difficulty level - 600
Time Taken - 1:07

Bunuel can you please guide me on how to insert fractions and special symbols in a reply ? I think I have to insert pics.
Intern
Intern
avatar
Joined: 03 Feb 2015
Posts: 49
Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we  [#permalink]

Show Tags

New post 25 Mar 2015, 12:43
wow the gmat certainly goes out of their way to trick you... i kept thinking 1/3 sold was pizza, not the remaining of the 1/8... sigh
e-GMAT Representative
User avatar
V
Joined: 04 Jan 2015
Posts: 2943
Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we  [#permalink]

Show Tags

New post 12 May 2015, 05:11
1
In such questions, representing the given information visually in a rough tree structure reduces the chances of making an error:

Image

Given: \(\frac{7t}{24}=n\)
=> \(t=\frac{24n}{7}\)
=> \(\frac{t}{8} = \frac{3n}{7}\)
=> Number of Mushroom pizzas sold = \(\frac{3n}{7}\)

Hope this helped! :)

Japinder
_________________
Math Expert
User avatar
V
Joined: 02 Aug 2009
Posts: 7764
Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we  [#permalink]

Show Tags

New post 20 Mar 2016, 20:07
1
pepo wrote:
At a certain pizzeria, 1/8 of the pizzas sold in one week were mushroom and 1/3 of the remaining pizzas sold were pepperoni. If n of the pizzas sold were
pepperoni, how many were mushroom?

A 3/8n
B 3/7n
C 7/16n
D 7/8n
E 3n


Is possible to solve this question plugging a number for "n"?
Thanks!


Hi,

yes it is pssible to solve this Q by plugging values for either 'n' or TOTAL..
better would be TOTAL, since taking value of 'n' would mean working backwards..

so take total as LCM of 8 and 3 as we have two fractions 1/8 and 1/3..
LCM is 24, so take Total =24..
Mushroom= 3... this should be the answer from the choices
so remaining = 24-3=21
therefore n= 1/3 of 21= 7..

Now substitute n as 7 in choices, the choice which gives you answer as 3 is the CORRECT answer

Only B gives you 3, so the correct answer

_________________
Retired Moderator
avatar
P
Joined: 04 Aug 2016
Posts: 482
Location: India
Concentration: Leadership, Strategy
GPA: 4
WE: Engineering (Telecommunications)
Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we  [#permalink]

Show Tags

New post 17 Oct 2016, 03:35
Total T

Mushroom = 1/8T

Pep = 1/3 * 7/8T

Pep = n

So, 1/3 * 7/8T = n ; 7/8T = 3n

1/8 = 3/7 * n
CEO
CEO
User avatar
D
Status: GMATINSIGHT Tutor
Joined: 08 Jul 2010
Posts: 2960
Location: India
GMAT: INSIGHT
Schools: Darden '21
WE: Education (Education)
Reviews Badge
Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we  [#permalink]

Show Tags

New post 17 Oct 2016, 04:26
Bunuel wrote:

At a certain pizzeria, 1/8 of the pizzas sold in one week were mushroom and 1/3 of the remaining pizzas sold were pepperoni . If n of the pizzas sold were pepperoni, how many were mushroom?

(A) (3/8)n
(B) (3/7)n
(C) (7/16)n
(D) (7/8)n
(E) 3n


Let, Total Pizza = x

Mushroom Pizza = (1/8)*x

Remaining Pizza = x-(1/8)x = (7/8)x

Pepperoni Pizza = (!/3) of remaining pizzas = (1/3)* (7/8)x = (7/24)x

Given, n = (7/24)x i.e. x = 24n/7

Mushroom PIzzas = (1/8)*(24 n/7) = 3n/7

Answer: Option B
_________________
Prosper!!!
GMATinsight
Bhoopendra Singh and Dr.Sushma Jha
e-mail: info@GMATinsight.com I Call us : +91-9999687183 / 9891333772
Online One-on-One Skype based classes and Classroom Coaching in South and West Delhi
http://www.GMATinsight.com/testimonials.html

ACCESS FREE GMAT TESTS HERE:22 ONLINE FREE (FULL LENGTH) GMAT CAT (PRACTICE TESTS) LINK COLLECTION
Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2822
Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we  [#permalink]

Show Tags

New post 18 Oct 2016, 09:13
1
Bunuel wrote:
The Official Guide For GMAT® Quantitative Review, 2ND Edition

At a certain pizzeria, 1/8 of the pizzas sold in one week were mushroom and 1/3 of the remaining pizzas sold were pepperoni . If n of the pizzas sold were pepperoni, how many were mushroom?

(A) (3/8)n
(B) (3/7)n
(C) (7/16)n
(D) (7/8)n
(E) 3n


We can let the total number of pizzas = x

We are given that 1/8 of the pizzas sold in one week were mushroom, which we can represent as (1/8)x.

Next we are given that 1/3 of the remaining pizzas sold were pepperoni and that n of the pizzas sold were pepperoni. Since 1/8 of the pizzas were mushroom, 1 - 1/8 or 7/8 of the pizzas were the remaining pizzas. Thus:

1/3(7/8)x = n

(7/24)x = n

x = (24/7)n

Since x = (24/7)n, the number of mushroom pizzas sold was (1/8)(24/7)n = (24/56)n = (3/7)n

Answer: B
_________________

Jeffrey Miller

Head of GMAT Instruction

Jeff@TargetTestPrep.com
TTP - Target Test Prep Logo
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Manager
Manager
avatar
B
Joined: 09 Aug 2016
Posts: 63
At a certain pizzeria, 1/8 of the pizzas sold in one week we  [#permalink]

Show Tags

New post 09 Feb 2017, 06:45
Bunuel wrote:

At a certain pizzeria, 1/8 of the pizzas sold in one week were mushroom and 1/3 of the remaining pizzas sold were pepperoni . If n of the pizzas sold were pepperoni, how many were mushroom?

(A) (3/8)n
(B) (3/7)n
(C) (7/16)n
(D) (7/8)n
(E) 3n



Clue 1: "1/8 of the pizzas sold in one week were mushroom" = 1/8 P = Mushroom which means 7/8 P = NOT_Mushroom

Clue 2: "1/3 of the remaining pizzas sold were pepperoni" = 1/3 (NOT_Mushroom) = R => 1/3 * 7/8 * P = R

Clue 3: "if n of the pizzas sold were pepperoni" = 1/3 * 7/8 * P = n

Clue 4: "how many were mushroom" means 1/8 P = ? i.e. you dont care about the value of P you care about the whole thing "1/8 * P"

Take equation 3 and rearrange it:

( 7 * P) / (3 * 8) = n =>

(divide both sides with 7) => P/ (3*8) = n/7 =>

(multiply both sides with 3) 1/8 * P = 3n/7

Answer B
Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4512
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User
Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we  [#permalink]

Show Tags

New post 09 Feb 2017, 09:43
Bunuel wrote:
At a certain pizzeria, 1/8 of the pizzas sold in one week were mushroom and 1/3 of the remaining pizzas sold were pepperoni . If n of the pizzas sold were pepperoni, how many were mushroom?

(A) (3/8)n
(B) (3/7)n
(C) (7/16)n
(D) (7/8)n
(E) 3n


Let uring the week 24 pizzas were sold..

So, Mushroom pizzas soldd = 3 ; remaining Pizzas = 21

Peperroni Pizza = 7 ; remaining pizzas is 14

Now, n = 7 , so no of Mushroom Pizzas sold is \(\frac{3n}{7}\)

Hence, correct answer must be (B) \(\frac{3n}{7}\)
_________________
Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )
Manager
Manager
User avatar
B
Joined: 21 Jun 2017
Posts: 83
Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we  [#permalink]

Show Tags

New post 23 Aug 2017, 22:08
Weirdly worded question. Almost as bad as the clock that strikes question.

Anyway, once I got past the wording, I did the following:

8/8 is total pizza sold
1/8 is mushroom sold
8/8 - 7/8 = the remainder

1/3 x 7/8 = pepperoni = 7/24
7/24 = n

when you go to plug in 7/24 into the answer choices... 3/8 x 7/24 does not equal 1/8

However, with 3/7 x 7/24 = 3/24 = 1/8 = mushroom

Therefore, the answer is (B) 3/7 n
Non-Human User
User avatar
Joined: 09 Sep 2013
Posts: 11718
Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we  [#permalink]

Show Tags

New post 26 Sep 2018, 13:57
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
Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we   [#permalink] 26 Sep 2018, 13:57
Display posts from previous: Sort by

At a certain pizzeria, 1/8 of the pizzas sold in one week we

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  





Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne