Word Translation: At a certain pizzeria, 1/8 of pizzas sold

This topic has expert replies
User avatar
Master | Next Rank: 500 Posts
Posts: 400
Joined: Mon Dec 10, 2007 1:35 pm
Location: London, UK
Thanked: 19 times
GMAT Score:680
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 ?
Last edited by II on Tue Apr 29, 2008 5:28 am, edited 1 time in total.
Source: — Problem Solving |

Junior | Next Rank: 30 Posts
Posts: 11
Joined: Mon Jan 07, 2008 6:31 pm
Thanked: 1 times

answer

by keerthivivek » Thu Mar 13, 2008 5:49 pm
Is the answer 3n/7 ?

1/8 = Mush
remaining = 7/8
1/3 * 7/8 = 7/24
n = 7/24 = 7/3 * (1/8 )
n = 7/3 * Mush
Mush = 3n/7

Legendary Member
Posts: 789
Joined: Sun May 06, 2007 1:25 am
Location: Southern California, USA
Thanked: 15 times
Followed by:6 members

hmm

by resilient » Mon Mar 17, 2008 11:59 pm
There is a very simple approach to this problem. Pick a number that the pizzeria is selling. Pick a SMART NUMBER that will cooperate with the given values for both number constraints that are given to you.

ex. you can start with imaginary smart number 24.

1/8 were mushroom = 1/8 of 24 = 3

1/3 of remaining (21) were pepperoni = 7

it also seems that you are missing some information the question answer choices. what is qa and what source is this?
Appetite for 700 and I scraped my plate!

Master | Next Rank: 500 Posts
Posts: 111
Joined: Thu Jan 31, 2008 4:05 pm
Thanked: 18 times
Followed by:1 members

by xilef » Tue Mar 18, 2008 11:19 am
M=1/8
P=1/3*7/8 or 7/24 or n

M=1-all the rest

M=1-3n

User avatar
Master | Next Rank: 500 Posts
Posts: 400
Joined: Mon Dec 10, 2007 1:35 pm
Location: London, UK
Thanked: 19 times
GMAT Score:680

by II » Wed Mar 19, 2008 8:02 am
Hi Guys .... the answer is 3/7 ... thanks for your replies. This question is from the OG Quant guide.

Newbie | Next Rank: 10 Posts
Posts: 1
Joined: Thu Mar 10, 2011 11:35 am

by Guillo » Thu Mar 10, 2011 11:50 am
I figured it out the same way keerthivivek did. I know the answer is correct, but is the reasoning correct as well???

I still can't figure out why these sort of problems would be called "word translation".