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At a certain pizzeria, 1/8 of the pizzas sold in one week
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07 Feb 2020, 05:20
07 Feb 2020, 05:20
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74% (02:13) correct
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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) 3n/8
(B) 3n/7
(C) 7n/16
(D) 7n/8
(E) 3n
(A) 3n/8
(B) 3n/7
(C) 7n/16
(D) 7n/8
(E) 3n
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Joined: 10 Apr 2015
Posts: 6218
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Re: At a certain pizzeria, 1/8 of the pizzas sold in one week
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07 Feb 2020, 07:07
07 Feb 2020, 07:07
1
Asif123 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) 3n/8
(B) 3n/7
(C) 7n/16
(D) 7n/8
(E) 3n
(A) 3n/8
(B) 3n/7
(C) 7n/16
(D) 7n/8
(E) 3n
Let T = the total number of pizzas sold
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
Re: At a certain pizzeria, 1/8 of the pizzas sold in one week
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18 May 2024, 08:03
18 May 2024, 08:03
Hello from the GRE Prep Club BumpBot!
Thanks to another GRE Prep 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).
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Thanks to another GRE Prep 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.
