GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 22 Apr 2019, 01:49

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

Doug and Dave shared a pizza with 8 equally-sized slices. Doug wanted

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

Hide Tags

 
Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 54421
Doug and Dave shared a pizza with 8 equally-sized slices. Doug wanted  [#permalink]

Show Tags

New post 25 Mar 2019, 00:25
00:00
A
B
C
D
E

Difficulty:

  35% (medium)

Question Stats:

71% (01:44) correct 29% (01:40) wrong based on 28 sessions

HideShow timer Statistics

Doug and Dave shared a pizza with 8 equally-sized slices. Doug wanted a plain pizza, but Dave wanted anchovies on half the pizza. The cost of a plain pizza was 8 dollars, and there was an additional cost of 2 dollars for putting anchovies on one half. Dave ate all the slices of anchovy pizza and one plain slice. Doug ate the remainder. Each paid for what he had eaten. How many more dollars did Dave pay than Doug?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5

_________________
Senior PS Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3386
Location: India
GPA: 3.12
Re: Doug and Dave shared a pizza with 8 equally-sized slices. Doug wanted  [#permalink]

Show Tags

New post 25 Mar 2019, 00:55
Bunuel wrote:
Doug and Dave shared a pizza with 8 equally-sized slices. Doug wanted a plain pizza, but Dave wanted anchovies on half the pizza. The cost of a plain pizza was 8 dollars, and there was an additional cost of 2 dollars for putting anchovies on one half. Dave ate all the slices of anchovy pizza and one plain slice. Doug ate the remainder. Each paid for what he had eaten. How many more dollars did Dave pay than Doug?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5


In the pizza, if 8 slices cost 8 dollar, the cost of a slice is 1 dollar.

Since the cost of putting the anchovies on half the pizza(4 slices) is 2 dollars more
than the other half, each slice with anchovies will cost an additional 50 cents.

Dave ate all the slices of the anchovy pizza and a slice of plain pizza(4*1.5 + 1 = 7)

Therefore, Dave would have paid 7 - 3 = 4 dollars(Option D) more than Doug.
_________________
You've got what it takes, but it will take everything you've got
CEO
CEO
User avatar
P
Joined: 18 Aug 2017
Posts: 3016
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: Doug and Dave shared a pizza with 8 equally-sized slices. Doug wanted  [#permalink]

Show Tags

New post 25 Mar 2019, 02:48
1
Bunuel wrote:
Doug and Dave shared a pizza with 8 equally-sized slices. Doug wanted a plain pizza, but Dave wanted anchovies on half the pizza. The cost of a plain pizza was 8 dollars, and there was an additional cost of 2 dollars for putting anchovies on one half. Dave ate all the slices of anchovy pizza and one plain slice. Doug ate the remainder. Each paid for what he had eaten. How many more dollars did Dave pay than Doug?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5


cost of plain pizza per slice = 1$
and cost of adding achovies = 2$ for half pizza
total effective cost of Pizza = 1*8 + 2 = 10 $
slices eat by Dave = 2+ 5 ; 7 $ worth
and Doug 3 slices; 3$ worth
so Dave paid 7-3 ; 4$ more
IMO D
_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Intern
Intern
User avatar
B
Joined: 25 Jun 2017
Posts: 30
Location: Canada
GMAT 1: 660 Q45 V36
GPA: 3.5
WE: Human Resources (Consumer Products)
CAT Tests
Re: Doug and Dave shared a pizza with 8 equally-sized slices. Doug wanted  [#permalink]

Show Tags

New post 25 Mar 2019, 05:24
Bunuel wrote:
Doug and Dave shared a pizza with 8 equally-sized slices. Doug wanted a plain pizza, but Dave wanted anchovies on half the pizza. The cost of a plain pizza was 8 dollars, and there was an additional cost of 2 dollars for putting anchovies on one half. Dave ate all the slices of anchovy pizza and one plain slice. Doug ate the remainder. Each paid for what he had eaten. How many more dollars did Dave pay than Doug?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5


I think the answer should be C.

There are 8 pizza slices.
The cost of the total pizza is $8 (for whole plain pizza)+$2 (for anchovies on half) = $10.00

Cost per slice =\(\frac{$10.00}{8}\) = $1.25

Dave had 5 slices - $1.25*5 = $6.25
Doug had the remaining 3 slices - $1.25*3 = $3.75

Difference is $6.25-$3.75 = $2.50. This answer when rounded is closest to C.
_________________
If you liked my post, give me Kudos! Thanks!
CEO
CEO
User avatar
P
Joined: 18 Aug 2017
Posts: 3016
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
GMAT ToolKit User Premium Member CAT Tests
Re: Doug and Dave shared a pizza with 8 equally-sized slices. Doug wanted  [#permalink]

Show Tags

New post 25 Mar 2019, 05:27
rodri102
seems you did not read the question properly; see highlighted part below..

rodri102 wrote:
Bunuel wrote:
Doug and Dave shared a pizza with 8 equally-sized slices. Doug wanted a plain pizza, but Dave wanted anchovies on half the pizza. The cost of a plain pizza was 8 dollars, and there was an additional cost of 2 dollars for putting anchovies on one half. Dave ate all the slices of anchovy pizza and one plain slice. Doug ate the remainder. Each paid for what he had eaten. How many more dollars did Dave pay than Doug?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5


I think the answer should be C.

There are 8 pizza slices.
The cost of the total pizza is $8 (for whole plain pizza)+$2 (for anchovies on half) = $10.00

Cost per slice =\(\frac{$10.00}{8}\) = $1.25

Dave had 5 slices - $1.25*5 = $6.25
Doug had the remaining 3 slices - $1.25*3 = $3.75

Difference is $6.25-$3.75 = $2.50. This answer when rounded is closest to C.

_________________
If you liked my solution then please give Kudos. Kudos encourage active discussions.
Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 5807
Location: United States (CA)
Re: Doug and Dave shared a pizza with 8 equally-sized slices. Doug wanted  [#permalink]

Show Tags

New post 27 Mar 2019, 18:49
Bunuel wrote:
Doug and Dave shared a pizza with 8 equally-sized slices. Doug wanted a plain pizza, but Dave wanted anchovies on half the pizza. The cost of a plain pizza was 8 dollars, and there was an additional cost of 2 dollars for putting anchovies on one half. Dave ate all the slices of anchovy pizza and one plain slice. Doug ate the remainder. Each paid for what he had eaten. How many more dollars did Dave pay than Doug?

(A) 1
(B) 2
(C) 3
(D) 4
(E) 5


The cost of the pizza is 8 + 2 = $10. The cost of the plain half is 8/2 = $4; thus, the cost of the anchovy half is $6. Therefore, each plain slice is 4/4 = $1. Since Dave ate all the anchovy slices and one plain slice, he ate 6 + 1 = $7 worth of the pizza. So Doug ate 10 - 7 = $3 worth of the pizza. The difference is $4.

Answer: D
_________________

Scott Woodbury-Stewart

Founder and CEO

Scott@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

GMAT Club Bot
Re: Doug and Dave shared a pizza with 8 equally-sized slices. Doug wanted   [#permalink] 27 Mar 2019, 18:49
Display posts from previous: Sort by

Doug and Dave shared a pizza with 8 equally-sized slices. Doug wanted

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


Copyright

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

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

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®.