BREAKING: Target Test Prep releases Brand New 2026 On Demand GMAT prep course

Redeem

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

This topic has expert replies
Post new topic Post Reply
Previous Topic Next Topic
Moderator
Posts: 7187
Joined: Thu Sep 07, 2017 4:43 pm
Followed by:23 members

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

by BTGmoderatorDC » Thu Aug 04, 2022 1:42 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

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.


OA C

Source: GMAT Prep
Top
Source: — Data Sufficiency |
Legendary Member
Posts: 2499
Joined: Sun Oct 29, 2017 2:04 pm
Followed by:6 members

Re: 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

by swerve » Sun Aug 07, 2022 11:36 am

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

BTGmoderatorDC wrote: ↑
Thu Aug 04, 2022 1:42 am
 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.


OA C

Source: GMAT Prep
Say there are \(x\) pieces of fruit on the cake, thus we are given that there are \(0.25x\) pieces of strawberries.

From 1
No info about the second layer. Not sufficient. \(\Large{\color{red}\chi}\)

From 2
There are \(0.2\cdot 20=4\) pieces of strawberries on the second layer. No info about the first layer. Not sufficient. \(\Large{\color{red}\chi}\)

Combining 1 & 2
There are a total of \(6+4=10\) pieces of strawberries, thus there are a 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. \(\Large{\color{green}\checkmark}\)

Therefore, C
Top
Post new topic Post Reply
• Page 1 of 1