Last visit was: 22 Apr 2026, 14:58 It is currently 22 Apr 2026, 14:58
Home
Messages
Tests
Schools
Events
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.
Go to My Error Log Learn more
Close
Request Expert Reply
Confirm Cancel
Back to Forum
Create Topic
avatar
ju_1
avatar
Joined: 07 May 2003
Last visit: 07 Jul 2003
Posts: 4
Own Kudos:
116
 [111]
Location: Dallas
Posts: 4
Kudos: 116
 [111]
A diet contains 300 grams of a mixture of two foods, food X Updated on: 30 Jul 2012, 08:11
Originally posted by ju_1 on 20 May 2003, 11:49.
Last edited by Bunuel on 30 Jul 2012, 08:11, edited 1 time in total.
Edited the question and added the OA.
14
Kudos
Add Kudos
96
Bookmarks
Bookmark this Post
00:00
Start Timer
Pause Timer
Resume Timer
Show Answer
Hide
Show
History
E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

77% (02:10) correct 23% (02:31) wrong based on 2860 sessions

History

Date
Time
Result
Not Attempted Yet
A diet contains 300 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture?

(A) 150
(B) 145
(C) 100
(D) 160
(E) 140
ShowHide Answer
Official Answer
E
If this question felt shaky, try an adaptive mini quiz of similar problems in GMAT Club Forum Quiz →. Free plan gives 5 questions per day.
Most Helpful Reply
User avatar
Bunuel
User avatar
Math Expert
Joined: 02 Sep 2009
Last visit: 22 Apr 2026
Posts: 109,754
Own Kudos:
810,663
 [34]
Given Kudos: 105,823
Products:
GMAT Club Tests Forum Quiz
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 109,754
Kudos: 810,663
 [34]
A diet contains 300 grams of a mixture of two foods, food X 30 Jul 2012, 08:13
19
Kudos
Add Kudos
15
Bookmarks
Bookmark this Post
harshavmrg
ju_1
A diet contains 300 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture?
(A) 150
(B)145
(C) 100
(D) 160
(E) 140

x(10%) y(15%)
38%
23% 28%

the protein parts in the final mixture for X:Y::23:28

hence

23 X
----------- = --------------
(23+28) 300

23/51 = x/300

x = 23 * 300
------------
51

hence x is approximately equal to 139.8

hence the answer is E
Show more

Keep it simple:

    \(0.1x+0.15(300-x)=38\);

    \(0.1x+45-0.15x=38\);

    \(0.05x=7\);

    \(\frac{5}{100}x=7\);

    \(x=\frac{700}{5}\);

    \(x=140\) (exactly).

Answer: E.
avatar
bhavinshah5685
avatar
Joined: 25 Jun 2012
Last visit: 19 Jun 2017
Posts: 49
Own Kudos:
321
 [11]
Given Kudos: 21
Location: India
WE:General Management (Energy)
Posts: 49
Kudos: 321
 [11]
A diet contains 300 grams of a mixture of two foods, food X 13 Aug 2012, 00:41
8
Kudos
Add Kudos
3
Bookmarks
Bookmark this Post
X contains 30 gms of protein (10% of 300 gms)
Y contains 45 gms of protein (15% of 300 gms)
Resultant mixture contains 38 gms of protien.

using scale method :

____8___________7___
30 38 45
w1 w2

therefore,
w1/w2 = 7/8

7x+8x=300 gms
=> x=20

so, w1 = 7x=7(20) = 140 gms
General Discussion
User avatar
tzolkin
User avatar
Joined: 12 Mar 2003
Last visit: 14 Nov 2003
Posts: 40
Own Kudos:
6
 [4]
Posts: 40
Kudos: 6
 [4]
A diet contains 300 grams of a mixture of two foods, food X 20 May 2003, 21:08
4
Kudos
Add Kudos
Bookmarks
Bookmark this Post
1.... 10/100*X + 15/100*Y = 38 (protein)

2.... X + Y = 300 (Total Mix)

Solve for X = 140
avatar
harshavmrg
avatar
Joined: 25 Feb 2010
Last visit: 06 Dec 2012
Posts: 102
Own Kudos:
296
 [1]
Given Kudos: 16
Status:I will not stop until i realise my goal which is my dream too
Schools: Johnson '15
Schools: Johnson '15
Posts: 102
Kudos: 296
 [1]
A diet contains 300 grams of a mixture of two foods, food X 30 Jul 2012, 07:52
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ju_1
A diet contains 300 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture?
(A) 150
(B)145
(C) 100
(D) 160
(E) 140
Show more

x(10%) y(15%)
38%
23% 28%

the protein parts in the final mixture for X:Y::23:28

hence

23 X
----------- = --------------
(23+28) 300

23/51 = x/300

x = 23 * 300
------------
51

hence x is approximately equal to 139.8

hence the answer is E
User avatar
TGC
User avatar
Joined: 03 Aug 2012
Last visit: 19 Jul 2017
Posts: 572
Own Kudos:
3,621
 [7]
Given Kudos: 322
Concentration: General Management, General Management
Schools: ISB '16 NUS '17 NTU '17 XLRI SMU '17 IIM Lucknow IPMX'16 (A)
GMAT 1: 630 Q47 V29
GMAT 2: 680 Q50 V32
GPA: 3.7
WE:Information Technology (Finance: Investment Banking)
Schools: ISB '16 NUS '17 NTU '17 XLRI SMU '17 IIM Lucknow IPMX'16 (A)
GMAT 2: 680 Q50 V32
Posts: 572
Kudos: 3,621
 [7]
A diet contains 300 grams of a mixture of two foods, food X 18 Apr 2014, 22:12
5
Kudos
Add Kudos
2
Bookmarks
Bookmark this Post
X+Y = 300

0.1X + 0.15Y = 38

X=140
avatar
ajdse22
avatar
Joined: 17 Aug 2015
Last visit: 30 Nov 2019
Posts: 76
Own Kudos:
88
 [2]
Given Kudos: 196
Posts: 76
Kudos: 88
 [2]
A diet contains 300 grams of a mixture of two foods, food X 07 Aug 2016, 06:02
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
start with some numbers.
if x = 100, then y=200
protien from x = 10 and from y = 30 . total protein = 40. greater.. hmm. it means y is somewhat more than it should be. this implies x > 100.
x= 150 , then y=150
protein from x = 15 and from y = 22.5 total = 37.5..lesser
so answer is between 100 and 150 . if we see there are two choices 140 and 145. which one it should be?
well after increasing x by 50 we notice that we reduced total protein from 40 to 37.5 means 2.5. We just need to reduce the protein by 2.

Let us try 140 with this, protein from x = 14 , protein from y = 16+8 = 24. total = 38. this works!
User avatar
RK84
User avatar
Joined: 20 Mar 2015
Last visit: 31 Oct 2018
Posts: 41
Own Kudos:
38
 [1]
Given Kudos: 34
Location: United States
Concentration: General Management, Strategy
WE:Design (Manufacturing)
Posts: 41
Kudos: 38
 [1]
A diet contains 300 grams of a mixture of two foods, food X 07 Aug 2016, 13:25
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Take equal proportion to have an idea of ratio,150 each. X will give 15g, Y will give 22.5g which is closer to 38 (37.5)
A little thought on the options D& E will give us E as the answer


Sent from my iPhone using GMAT Club Forum mobile app
User avatar
law258
User avatar
Joined: 05 Sep 2016
Last visit: 11 Oct 2020
Posts: 259
Own Kudos:
121
 [1]
Given Kudos: 283
Status:DONE!
Posts: 259
Kudos: 121
 [1]
A diet contains 300 grams of a mixture of two foods, food X 25 Sep 2016, 06:46
1
Kudos
Add Kudos
Bookmarks
Bookmark this Post
10/100 (x) + 15/100 (300-x) = 38

10/100 (x) + 45 - 15/100 (x) = 38

-5/100 (x) = -7 --> x= 140
User avatar
JeffTargetTestPrep
User avatar
Target Test Prep Representative
Joined: 04 Mar 2011
Last visit: 05 Jan 2024
Posts: 2,974
Own Kudos:
8,710
 [2]
Given Kudos: 1,646
Status:Head GMAT Instructor
Affiliations: Target Test Prep
Expert
Expert reply
Posts: 2,974
Kudos: 8,710
 [2]
A diet contains 300 grams of a mixture of two foods, food X 22 Nov 2017, 13:19
2
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ju_1
A diet contains 300 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture?

(A) 150
(B) 145
(C) 100
(D) 160
(E) 140
Show more

We can let x = the amount of X and y = the amount of Y. Let’s create two equations:

x + y = 300

y = 300 - x

And

0.1x + 0.15y = 38

0.1x + 0.15(300 - x) = 38

0.1x + 45 - 0.15x = 38

7 = 0.05x

140 = x

Answer: E
User avatar
KarishmaB
User avatar
Joined: 16 Oct 2010
Last visit: 21 Apr 2026
Posts: 16,439
Own Kudos:
79,387
 [3]
Given Kudos: 484
Location: Pune, India
Expert
Expert reply
Active GMAT Club Expert! Tag them with @ followed by their username for a faster response.
Posts: 16,439
Kudos: 79,387
 [3]
A diet contains 300 grams of a mixture of two foods, food X 25 Apr 2019, 06:04
3
Kudos
Add Kudos
Bookmarks
Bookmark this Post
ju_1
A diet contains 300 grams of a mixture of two foods, food X and food Y. Food X contains 10 percent protein and food Y contains 15 percent protein. If a diet provides exactly 38 grams of protein daily, how many grams of food X are in the mixture?

(A) 150
(B) 145
(C) 100
(D) 160
(E) 140
Show more

Food X has 10% protein
Food Y has 15% protein

The mix has (38/300)*100 = (38/3)% protein (so this is the average protein)

wX/wY = (15 - 38/3) / (38/3 - 10) = 7/8

So food X and food Y are mixed in the ratio 7:8 in the 300 gms of mix.
Food X must be 140 gms and food Y must be 160 gms.

Answer (E)
User avatar
naveeng15
User avatar
Joined: 08 Dec 2021
Last visit: 22 Apr 2026
Posts: 86
Own Kudos:
9
Given Kudos: 42
Location: India
Concentration: Operations, Leadership
GMAT Focus 1: 555 Q80 V77 DI76
GMAT 1: 610 Q47 V28
WE:Design (Manufacturing)
Products:
Forum Quiz
GMAT Focus 1: 555 Q80 V77 DI76
GMAT 1: 610 Q47 V28
Posts: 86
Kudos: 9
A diet contains 300 grams of a mixture of two foods, food X 06 Jan 2022, 08:51
Kudos
Add Kudos
Bookmarks
Bookmark this Post
10/100*X + 15/100*Y = 38 (protein)

X + Y = 300 (Total Mix)

Solve for X = 140
User avatar
NidhiYad
User avatar
Joined: 05 Dec 2025
Last visit: 22 Apr 2026
Posts: 39
Own Kudos:
25
Given Kudos: 7
Location: India
Concentration: Technology, Leadership
Schools: ISB '27 LBS '27 INSEAD Jan '27
GPA: 8.6
WE:Consulting (Consulting)
Products:
GMAT Club Tests Forum Quiz
Schools: ISB '27 LBS '27 INSEAD Jan '27
Posts: 39
Kudos: 25
A diet contains 300 grams of a mixture of two foods, food X 12 Apr 2026, 09:00
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let:
x = grams of food X
y = grams of food Y
Step 1: Form equations

Total mixture:
x+y=300

Protein equation:
0.10x+0.15y=38

Step 2: Substitute
y=300−x
0.10x+0.15(300−x)=38
0.10x+45−0.15x=38
−0.05x+45=38
−0.05x=−7
x=0.05/7=140

Final Answer:
(E) 140 grams
User avatar
NidhiYad
User avatar
Joined: 05 Dec 2025
Last visit: 22 Apr 2026
Posts: 39
Own Kudos:
25
Given Kudos: 7
Location: India
Concentration: Technology, Leadership
Schools: ISB '27 LBS '27 INSEAD Jan '27
GPA: 8.6
WE:Consulting (Consulting)
Products:
GMAT Club Tests Forum Quiz
Schools: ISB '27 LBS '27 INSEAD Jan '27
Posts: 39
Kudos: 25
A diet contains 300 grams of a mixture of two foods, food X 12 Apr 2026, 09:00
Kudos
Add Kudos
Bookmarks
Bookmark this Post
Let:
x = grams of food X
y = grams of food Y
Step 1: Form equations

Total mixture:
x+y=300

Protein equation:
0.10x+0.15y=38

Step 2: Substitute
y=300−x
0.10x+0.15(300−x)=38
0.10x+45−0.15x=38
−0.05x+45=38
−0.05x=−7
x=0.05/7=140

Final Answer:
(E) 140 grams
Moderators:
Bunuel
Math Expert
109754 posts
Krunaal
Tuck School Moderator
853 posts