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.

It appears that you are browsing the GMAT Club forum unregistered!

Signing up is free, quick, and confidential.
Join other 500,000 members and get the full benefits of GMAT Club

Registration gives you:

Tests

Take 11 tests and quizzes from GMAT Club and leading GMAT prep companies such as Manhattan GMAT,
Knewton, and others. All are free for GMAT Club members.

Applicant Stats

View detailed applicant stats such as GPA, GMAT score, work experience, location, application
status, and more

Books/Downloads

Download thousands of study notes,
question collections, GMAT Club’s
Grammar and Math books.
All are free!

Thank you for using the timer!
We noticed you are actually not timing your practice. Click the START button first next time you use the timer.
There are many benefits to timing your practice, including:

A diet contains 300 grams of a mixture of two foods, food X [#permalink]

Show Tags

20 May 2003, 10:49

2

This post received KUDOS

8

This post was BOOKMARKED

00:00

A

B

C

D

E

Difficulty:

35% (medium)

Question Stats:

73% (01:51) correct 27% (01:57) wrong based on 680 sessions

HideShow timer Statistics

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?

Re: A diet contains 300 grams of a mixture of two foods, food X [#permalink]

Show Tags

30 Jul 2012, 06:52

ju_1 wrote:

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
_________________

Regards, Harsha

Note: Give me kudos if my approach is right , else help me understand where i am missing.. I want to bell the GMAT Cat

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

Keep it simple: \(0.1x+0.15(300-x)=38\) --> \(x=140\) (exactly).

Re: A diet contains 300 grams of a mixture of two foods, food X [#permalink]

Show Tags

18 Apr 2014, 21:12

1

This post received KUDOS

X+Y = 300

0.1X + 0.15Y = 38

X=140
_________________

Rgds, TGC! _____________________________________________________________________ I Assisted You => KUDOS Please _____________________________________________________________________________

Re: A diet contains 300 grams of a mixture of two foods, food X [#permalink]

Show Tags

07 Aug 2016, 05:02

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!

A diet contains 300 grams of a mixture of two foods, food X [#permalink]

Show Tags

07 Aug 2016, 12:25

1

This post received KUDOS

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

Re: A diet contains 300 grams of a mixture of two foods, food X [#permalink]

Show Tags

07 Aug 2016, 20:52

I am a little confused about the wording here.

The question says "a diet provides exactly 38 grams of protein daily..." is it referring to the same diet or some other diet which could be more or less than 300 grams?

I feel if it is referring to the same diet then it should mention "THE diet provides...", don't you think?

ju_1 wrote:

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?

Re: A diet contains 300 grams of a mixture of two foods, food X [#permalink]

Show Tags

22 Nov 2017, 04:43

Bunuel wrote:

harshavmrg wrote:

ju_1 wrote:

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

Keep it simple: \(0.1x+0.15(300-x)=38\) --> \(x=140\) (exactly).

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

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
_________________

Jeffery Miller Head of GMAT Instruction

GMAT Quant Self-Study Course 500+ lessons 3000+ practice problems 800+ HD solutions