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At a certain pizzeria, 1/8 of the pizzas sold in one week we
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27 Feb 2014, 07:05
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The Official Guide For GMAT® Quantitative Review, 2ND EditionAt 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 ProjectEach 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!
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Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we
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27 Feb 2014, 07:05
SOLUTIONAt 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.
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Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we
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27 Feb 2014, 21:11
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).



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Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we
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28 Feb 2014, 01:00
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
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Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we
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28 Feb 2014, 06:46
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.



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



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Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we
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12 May 2015, 05:11
In such questions, representing the given information visually in a rough tree structure reduces the chances of making an error: 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
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Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we
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20 Mar 2016, 20:07
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 = 243=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
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Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we
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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



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Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we
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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
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Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we
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18 Oct 2016, 09:13
Bunuel wrote: The Official Guide For GMAT® Quantitative Review, 2ND EditionAt 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
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At a certain pizzeria, 1/8 of the pizzas sold in one week we
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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



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Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we
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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) \(\frac{3n}{7}\)
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Re: At a certain pizzeria, 1/8 of the pizzas sold in one week we
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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



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