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

 It is currently 04 May 2015, 23:22

### 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

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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Marty's Pizza Shop guarantees that their pizzas all have a

Author Message
TAGS:
Manager
Joined: 09 Feb 2013
Posts: 121
Followers: 1

Kudos [?]: 373 [0], given: 17

Marty's Pizza Shop guarantees that their pizzas all have a [#permalink]  27 Feb 2013, 03:14
4
This post was
BOOKMARKED
00:00

Difficulty:

85% (hard)

Question Stats:

49% (03:10) correct 51% (01:59) wrong based on 154 sessions
Marty's Pizza Shop guarantees that their pizzas all have at least 75% of the surface area covered with toppings, with a crust of uniform width surrounding them. If you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust?

A. 0.8 inches
B. 1.1 inches
C. 1.6 inches
D. 2.0 inches
E. 2.5 inches
[Reveal] Spoiler: OA

_________________

Kudos will encourage many others, like me.
Good Questions also deserve few KUDOS.

Last edited by Bunuel on 27 Feb 2013, 04:19, edited 1 time in total.
Edited the question.
Math Expert
Joined: 02 Sep 2009
Posts: 27215
Followers: 4228

Kudos [?]: 41035 [1] , given: 5654

Re: Marty's Pizza Shop guarantees that their pizzas all have a [#permalink]  27 Feb 2013, 05:17
1
KUDOS
Expert's post
emmak wrote:
Marty's Pizza Shop guarantees that their pizzas all have at least 75% of the surface area covered with toppings, with a crust of uniform width surrounding them. If you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust?

A. 0.8 inches
B. 1.1 inches
C. 1.6 inches
D. 2.0 inches
E. 2.5 inches

The area of 16 inches pizza is $$\pi{R^2}=8^2\pi=64\pi$$.

The minimum area covered with toppings is $$\frac{3}{4}*64\pi=48\pi$$ --> the radius of the toppings is $$\pi{r^2}=48\pi$$ --> $$r=4\sqrt{3}\approx{6.9}$$.

The maximum width for the crust possible = R - r = 8 - 6.9 = 1.1 inches.

_________________
Manager
Joined: 07 Feb 2011
Posts: 89
Followers: 0

Kudos [?]: 26 [0], given: 43

Re: Marty's Pizza Shop guarantees that their pizzas all have a [#permalink]  03 Mar 2013, 05:50
Hmmm not an official question and the wording is tough on this
_________________

Senior Manager
Joined: 13 Aug 2012
Posts: 464
Concentration: Marketing, Finance
GMAT 1: Q V0
GPA: 3.23
Followers: 17

Kudos [?]: 257 [0], given: 11

Re: Marty's Pizza Shop guarantees that their pizzas all have a [#permalink]  03 Mar 2013, 20:07
emmak wrote:
Marty's Pizza Shop guarantees that their pizzas all have at least 75% of the surface area covered with toppings, with a crust of uniform width surrounding them. If you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust?

A. 0.8 inches
B. 1.1 inches
C. 1.6 inches
D. 2.0 inches
E. 2.5 inches

Total Area = 8 * 8 * pi

Surface = .75 * 64 * pi = 48 pi
Radius of surface = 4 sqrt (3) ~ 6.8

Radius width = 8 - 6.8 = 1.2

_________________

Impossible is nothing to God.

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 4772
Followers: 296

Kudos [?]: 52 [0], given: 0

Re: Marty's Pizza Shop guarantees that their pizzas all have a [#permalink]  23 Sep 2014, 04:38
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.
_________________
Intern
Joined: 12 May 2013
Posts: 27
Concentration: Finance, Economics
GMAT 1: 700 Q49 V36
Followers: 1

Kudos [?]: 37 [0], given: 16

Marty's Pizza Shop guarantees that their pizzas all have a [#permalink]  23 Sep 2014, 05:20
Bunuel wrote:
emmak wrote:
Marty's Pizza Shop guarantees that their pizzas all have at least 75% of the surface area covered with toppings, with a crust of uniform width surrounding them. If you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust?

A. 0.8 inches
B. 1.1 inches
C. 1.6 inches
D. 2.0 inches
E. 2.5 inches

The area of 16 inches pizza is $$\pi{R^2}=8^2\pi=64\pi$$.

The minimum area covered with toppings is $$\frac{3}{4}*64\pi=48\pi$$ --> the radius of the toppings is $$\pi{r^2}=48\pi$$ --> $$r=4\sqrt{3}\approx$$ 6,9

The maximum width for the crust possible = R - r = 8 - 6.9 = 1.1 inches.

$$r=4\sqrt{3}=6.9282....$$.

The maximum width for the crust possible = R - r = 8 - 6.9282... = 1.0717.... inches. -----> 1,1 width would make the surface area covered with topping less than 75%

I know this might be picky, but shouldn't OA be A ?
Does GMAT give these possible answers where rounding errors become very important
Please fill me in case Im missing something (which I probably do)
_________________

Feel free to message if you have any questions :D

Last edited by TehMoUsE on 23 Sep 2014, 05:26, edited 1 time in total.
Math Expert
Joined: 02 Sep 2009
Posts: 27215
Followers: 4228

Kudos [?]: 41035 [0], given: 5654

Re: Marty's Pizza Shop guarantees that their pizzas all have a [#permalink]  23 Sep 2014, 05:25
Expert's post
TehMoUsE wrote:
Bunuel wrote:
emmak wrote:
Marty's Pizza Shop guarantees that their pizzas all have at least 75% of the surface area covered with toppings, with a crust of uniform width surrounding them. If you order their best seller – a circular pizza with a diameter of 16 inches – what is the maximum width you can expect to see for the crust?

A. 0.8 inches
B. 1.1 inches
C. 1.6 inches
D. 2.0 inches
E. 2.5 inches

The area of 16 inches pizza is $$\pi{R^2}=8^2\pi=64\pi$$.

The minimum area covered with toppings is $$\frac{3}{4}*64\pi=48\pi$$ --> the radius of the toppings is $$\pi{r^2}=48\pi$$ --> $$r=4\sqrt{3}\approx{6.9}$$.

The maximum width for the crust possible = R - r = 8 - 6.9 = 1.1 inches.

$$r=4\sqrt{3}\={6.9282....}$$.

The maximum width for the crust possible = R - r = 8 - 6.9282... = 1.0717.... inches. -----> 1,1 width would make the surface area covered with topping less than 75%

I know this might be picky, but shouldn't OA be A ?

The approximate maximum is 1.1 inches.
_________________
Intern
Joined: 12 May 2013
Posts: 27
Concentration: Finance, Economics
GMAT 1: 700 Q49 V36
Followers: 1

Kudos [?]: 37 [0], given: 16

Re: Marty's Pizza Shop guarantees that their pizzas all have a [#permalink]  23 Sep 2014, 05:32
Bunuel wrote:
The approximate maximum is 1.1 inches.

I understand that, but the question doesn't say anything about approximations.

Is it silently implied in GMAT that you round up to the closest number, even tho it would give you the "wrong" answer?
_________________

Feel free to message if you have any questions :D

Math Expert
Joined: 02 Sep 2009
Posts: 27215
Followers: 4228

Kudos [?]: 41035 [0], given: 5654

Re: Marty's Pizza Shop guarantees that their pizzas all have a [#permalink]  23 Sep 2014, 05:37
Expert's post
TehMoUsE wrote:
Bunuel wrote:
The approximate maximum is 1.1 inches.

I understand that, but the question doesn't say anything about approximations.

Is it silently implied in GMAT that you round up to the closest number, even tho it would give you the "wrong" answer?

Word "approximate" is missing there. It should be "what is the approximate maximum width you can expect to see for the crust?"
_________________
Manager
Status: folding sleeves up
Joined: 26 Apr 2013
Posts: 103
Location: India
Concentration: Finance, Strategy
GMAT Date: 10-31-2014
GPA: 3.5
WE: Consulting (Computer Hardware)
Followers: 1

Kudos [?]: 17 [0], given: 38

Re: Marty's Pizza Shop guarantees that their pizzas all have a [#permalink]  23 Sep 2014, 06:31
Hi Bunuel,

I am not able to find the solution with this method.

x be the width of the surrounding

pi (8-x)^2/pi(8)^2 = 3/4

does not lead to the answer..I am not able to find whats wrong in this approach.

Regards,
Ravi
Math Expert
Joined: 02 Sep 2009
Posts: 27215
Followers: 4228

Kudos [?]: 41035 [0], given: 5654

Re: Marty's Pizza Shop guarantees that their pizzas all have a [#permalink]  24 Sep 2014, 04:29
Expert's post
email2vm wrote:
Hi Bunuel,

I am not able to find the solution with this method.

x be the width of the surrounding

pi (8-x)^2/pi(8)^2 = 3/4

does not lead to the answer..I am not able to find whats wrong in this approach.

Regards,
Ravi

There is nothing wrong with this approach.

$$\frac{\pi (8-x)^2}{\pi(8)^2} = \frac{3}{4}$$ --> $$(8-x)^2=48$$ --> $$8-x=4\sqrt{3}=6.9$$ --> $$x=8-6.9=1.1$$.
_________________
Re: Marty's Pizza Shop guarantees that their pizzas all have a   [#permalink] 24 Sep 2014, 04:29
Similar topics Replies Last post
Similar
Topics:
3 Given that a “12-inch pizza” means circular pizza with a diameter of 1 4 02 Mar 2015, 07:23
8 Chicago-style" deep-dish pizza must have its crust, 13 23 Feb 2013, 23:12
Balancing a pizza with one hand and having gripped a 5 11 Jan 2013, 03:30
4 At a certain pizza parlor, the diameter of a large pizza is 6 10 Oct 2012, 10:04
DS - Pizza 6 13 Dec 2006, 10:06
Display posts from previous: Sort by