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
Answer: B
Source: Official guide
At a certain pizzeria, 1/8 of the pizzas sold in one week were mushroom and 1/3 of the remaining pizzas sold were pepper
This topic has expert replies
-
- Legendary Member
- Posts: 1223
- Joined: Sat Feb 15, 2020 2:23 pm
- Followed by:1 members
Timer
00:00
Your Answer
A
B
C
D
E
Global Stats
GMAT/MBA Expert
- Brent@GMATPrepNow
- GMAT Instructor
- Posts: 16207
- Joined: Mon Dec 08, 2008 6:26 pm
- Location: Vancouver, BC
- Thanked: 5254 times
- Followed by:1268 members
- GMAT Score:770
Let T = the total number of pizzas soldBTGModeratorVI wrote: ↑Sun Aug 02, 2020 6:53 amAt 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
Answer: B
Source: Official guide
1/8 of the pizzas sold in one week were mushroom
So, T/8 = the total number of mushroom pizzas sold
Aside: 7T/8 pizzas are still unaccounted for.
1/3 of the remaining pizzas sold were pepperoni
So, 1/3 of 7T/8 = number of pepperoni pizza sold
Another words, 7T/24 = number of pepperoni pizza sold
If n of the pizzas sold were pepperoni, how many were mushroom?
In other words, 7T/24 = n
IMPORTANT: We already know that T/8 = the total number of mushroom pizzas sold
So, our job now is to take the equation 7T/24 = n and rewrite it so that we can determine the value of T/8
Take: 7T/24 = n
Multiply both sides by 3 to get: 7T/8 = 3n
Now divide both sides by 7 to get: T/8 = 3n/7
Answer: B
Cheers,
Brent
GMAT/MBA Expert
- Scott@TargetTestPrep
- GMAT Instructor
- Posts: 7294
- Joined: Sat Apr 25, 2015 10:56 am
- Location: Los Angeles, CA
- Thanked: 43 times
- Followed by:29 members
Solution:BTGModeratorVI wrote: ↑Sun Aug 02, 2020 6:53 amAt 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
Answer: B
Source: Official guide
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
Scott Woodbury-Stewart
Founder and CEO
[email protected]
See why Target Test Prep is rated 5 out of 5 stars on BEAT the GMAT. Read our reviews