Last visit was: 19 Apr 2025, 07:18 It is currently 19 Apr 2025, 07:18
Close
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
Your Progress

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
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Close
Request Expert Reply
Confirm Cancel
User avatar
lazarogb
Joined: 23 Oct 2012
Last visit: 09 Mar 2013
Posts: 1
Own Kudos:
38
 [38]
Given Kudos: 1
Posts: 1
Kudos: 38
 [38]
2
Kudos
Add Kudos
36
Bookmarks
Bookmark this Post
Most Helpful Reply
User avatar
MacFauz
Joined: 02 Jul 2012
Last visit: 19 Mar 2022
Posts: 998
Own Kudos:
3,275
 [15]
Given Kudos: 116
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE:Engineering (Energy)
10
Kudos
Add Kudos
5
Bookmarks
Bookmark this Post
General Discussion
User avatar
Jp27
Joined: 22 Dec 2011
Last visit: 25 Dec 2013
Posts: 173
Own Kudos:
1,126
 [1]
Given Kudos: 32
Posts: 173
Kudos: 1,126
 [1]
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
User avatar
th03
Joined: 02 Nov 2012
Last visit: 31 May 2014
Posts: 86
Own Kudos:
Given Kudos: 35
Location: India
Concentration: Entrepreneurship, Strategy
WE:Other (Computer Software)
Kudos
Add Kudos
Bookmarks
Bookmark this Post
lazarogb
A certain cake has two layers with pieces of fruit on top of each layer. Of all the pieces of fruit on the cake, 25 percent are strawberies. How many pieces of fruit are on the first layer of the cake?

1) Of the pieces of fruit on the first layer, 6 are strawberries.

2) 20 percent of the 20 pieces of fruit on the second layer are strawberries.


The explanation from the gmat prep is a bit confusing, can anyone make a more direct user-friendly solution??
Consider 1)
It is given that 6 are strawberries. We have no idea about the number of other pieces of fruit on the first layer.
Thus, eliminate choices A and D.

Consider 2)
No information is given about the number of pieces of fruit in the first layer.
Thus, eliminate B.

Consider both 1) and 2)
First layer=6 strawberries
Second layer=20% of 20 pieces of fruit are strawberries => 4 strawberry pieces
=> (6 + 4) strawberries totals to 25% as given in the question.
Using this, we can find out the number of pieces of the other fruit.
=> If 25%=10 pieces, 75%=30 pieces

Hence, we can find the solution. The answer is C.

You actually do not need to calculate so much and find the exact number. The moment we arrive at 25%=10 strawberry pieces, we should choose C and move on.

Hope this helps!
User avatar
MacFauz
Joined: 02 Jul 2012
Last visit: 19 Mar 2022
Posts: 998
Own Kudos:
3,275
 [1]
Given Kudos: 116
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE:Engineering (Energy)
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
th03
lazarogb
A certain cake has two layers with pieces of fruit on top of each layer. Of all the pieces of fruit on the cake, 25 percent are strawberies. How many pieces of fruit are on the first layer of the cake?

1) Of the pieces of fruit on the first layer, 6 are strawberries.

2) 20 percent of the 20 pieces of fruit on the second layer are strawberries.


The explanation from the gmat prep is a bit confusing, can anyone make a more direct user-friendly solution??
Consider 1)
It is given that 6 are strawberries. We have no idea about the number of other pieces of fruit on the first layer.
Thus, eliminate choices A and D.

Consider 2)
No information is given about the number of pieces of fruit in the first layer.
Thus, eliminate B.

Consider both 1) and 2)
First layer=6 strawberries
Second layer=20% of 20 pieces of fruit are strawberries => 4 strawberry pieces
=> (6 + 4) strawberries totals to 25% as given in the question.
Using this, we can find out the number of pieces of the other fruit.
=> If 25%=10 pieces, 75%=30 pieces

Hence, we can find the solution. The answer is C.

You actually do not need to calculate so much and find the exact number. The moment we arrive at 25%=10 strawberry pieces, we should choose C and move on.

Hope this helps!
Just my two cents...

If the second statement had been something like

Of the pieces of fruit on the second layer, 4 are strawberries. We still would have got 25% = 10. But the statement would still have been insufficient and answer would have been E.
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 18 Apr 2025
Posts: 100,761
Own Kudos:
717,707
 [2]
Given Kudos: 93,108
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 100,761
Kudos: 717,707
 [2]
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
A certain cake has two layers with pieces of fruit on top of each layer. Of all the pieces of fruit on the cake, 25 percent are strawberries. How many pieces of fruit are on the first layer of the cake?

Say there are x pieces of fruit on the cake, thus we are given that there are 0.25x pieces of strawberries.

(1) Of the pieces of fruit on the first layer, 6 are strawberries. No info about the second layer. Not sufficient.

(2) 20 percent of the 20 pieces of fruit on the second layer are strawberries --> there are 0.2*20=4 pieces of strawberries on the second layer. No info about the first layer. Not sufficient.

(1)+(2) From above we have that there are total of 6+4=10 pieces of strawberries, thus there are total of 40 pieces of fruit on the cake (from 0.25x=10). Since from (2) we have that there are 20 pieces of fruit on the second layer, then there are 40-20=20 pieces of fruit on the first layer. Sufficient.

Answer: C.

Hope it's clear.
avatar
fozzzy
Joined: 29 Nov 2012
Last visit: 17 May 2015
Posts: 575
Own Kudos:
Given Kudos: 543
Posts: 575
Kudos: 6,503
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Is this a venn diagram question?
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 18 Apr 2025
Posts: 100,761
Own Kudos:
Given Kudos: 93,108
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 100,761
Kudos: 717,707
Kudos
Add Kudos
Bookmarks
Bookmark this Post
fozzzy
Is this a venn diagram question?

No this is not an overlapping sets problem.
avatar
Joshuad25
Joined: 11 Sep 2016
Last visit: 01 Oct 2016
Posts: 3
Own Kudos:
Given Kudos: 1
Posts: 3
Kudos: 1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Should we assuming that both layers have the same amount of fruit on them? I know how to calculate total pieces but how would we know how they are divided amount the layers?
User avatar
MacFauz
Joined: 02 Jul 2012
Last visit: 19 Mar 2022
Posts: 998
Own Kudos:
3,275
 [1]
Given Kudos: 116
Location: India
Concentration: Strategy
GMAT 1: 740 Q49 V42
GPA: 3.8
WE:Engineering (Energy)
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
No.. There is no reason to information in the question that suggests that the two layers have the same number of fruits.. Statement B states that there are 20 pieces of fruit on the second layer and we can calculate the total number of fruits. So from that information we can calculate the total number of fruits in he first layer.
Joshuad25
Should we assuming that both layers have the same amount of fruit on them? I know how to calculate total pieces but how would we know how they are divided amount the layers?
User avatar
ravigupta2912
User avatar
Current Student
Joined: 26 May 2019
Last visit: 16 Feb 2025
Posts: 728
Own Kudos:
Given Kudos: 84
Location: India
GMAT 1: 650 Q46 V34
GMAT 2: 720 Q49 V40
GPA: 2.58
WE:Consulting (Consulting)
Products:
Kudos
Add Kudos
Bookmarks
Bookmark this Post
St. 1 -- NS. There is no relation between total SB % and number of fruits in first layer only
St. 2 -- NS. This gives us number of strawberries in the 2nd layer but depending upon number of strawberries, total number of fruits (and hence number of fruits in first layer) could vary.

C is the correct answer since combining gives us the total number of SB i.e. 10. That gives us the total number of fruits (10/25% = 40) and the number of fruits in the first layer (total - number in second layer).
User avatar
Basshead
Joined: 09 Jan 2020
Last visit: 07 Feb 2024
Posts: 930
Own Kudos:
Given Kudos: 432
Location: United States
Posts: 930
Kudos: 275
Kudos
Add Kudos
Bookmarks
Bookmark this Post
lazarogb
A certain cake has two layers with pieces of fruit on top of each layer. Of all the pieces of fruit on the cake, 25 percent are strawberries. How many pieces of fruit are on the first layer of the cake?

(1) Of the pieces of fruit on the first layer, 6 are strawberries.
(2) 20 percent of the 20 pieces of fruit on the second layer are strawberries.


(1) We can't determine the number of strawberries on the second layer; INSUFFICIENT.

(2) We can't determine the number of fruit on the first layer; INSUFFICIENT.

(1&2) We're told the pieces of fruit = 25% strawberries.

4 out of the 20 pieces of fruit on the second layer are strawberries. As well, we know that 6 strawberries are on the first layer. We can create the following equation

\(\frac{10}{20+x} = \frac{1}{4}\)

\(x = 20\)

There are 20 pieces of fruit on the first layer of the cake. SUFFICIENT.

Answer is C.
avatar
tkorzhan1995
Joined: 16 Oct 2021
Last visit: 30 Aug 2022
Posts: 136
Own Kudos:
Given Kudos: 22
Location: Canada
Posts: 136
Kudos: 15
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Bunuel, can you please clarify what does it indicate in the second statement that 20 is the total # of fruits on the second layer?
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 18 Apr 2025
Posts: 100,761
Own Kudos:
Given Kudos: 93,108
Products:
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 100,761
Kudos: 717,707
Kudos
Add Kudos
Bookmarks
Bookmark this Post
tkorzhan1995
Bunuel, can you please clarify what does it indicate in the second statement that 20 is the total # of fruits on the second layer?

Check the highlighted part:

(2) 20 percent of the 20 pieces of fruit on the second layer are strawberries.
User avatar
bumpbot
User avatar
Non-Human User
Joined: 09 Sep 2013
Last visit: 04 Jan 2021
Posts: 36,918
Own Kudos:
Posts: 36,918
Kudos: 971
Kudos
Add Kudos
Bookmarks
Bookmark this Post
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.
Moderator:
Math Expert
100761 posts