GMAT Question of the Day - Daily to your Mailbox; hard ones only

 It is currently 13 Nov 2019, 23:40 ### 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

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.  # The table above gives the number of calories and grams of

Author Message
TAGS:

### Hide Tags

Manager  B
Status: May The Force Be With Me (D-DAY 15 May 2012)
Joined: 06 Jan 2012
Posts: 193
Location: India
Concentration: General Management, Entrepreneurship
The table above gives the number of calories and grams of  [#permalink]

### Show Tags

4
1
15 00:00

Difficulty:   25% (medium)

Question Stats: 74% (01:52) correct 26% (02:04) wrong based on 807 sessions

### HideShow timer Statistics

Project DS Butler: Day 52: Data Sufficiency (DS104)

Food -- Number of Calories per Kilogram -- Number of Grams of Protein per Kilogram
S ----- 2.000 -----------------------------------------150
T ----- 1,500 -----------------------------------------90

The table above gives the number of calories and grams of protein per kilogram of foods S and T. If a total of 7 kilograms of S and T are combined to make a certain food mixture, how many kilograms of food S are in the mixture?

(1) The mixture has a total of 12,000 calories.
(2) The mixture has a total of 810 grams of protein.

_________________
Giving +1 kudos is a better way of saying 'Thank You'.

Originally posted by boomtangboy on 01 Apr 2012, 05:26.
Last edited by gmatbusters on 27 Dec 2018, 09:08, edited 2 times in total.
Edited the OA
Math Expert V
Joined: 02 Sep 2009
Posts: 59020
Re: The table above gives the number of calories and grams of  [#permalink]

### Show Tags

5
Food -- Number of Calories per Kilogram -- Number of Grams of Protein per Kilogram
S ----- 2.000 -----------------------------------------150
T ----- 1,500 -----------------------------------------90

The table above gives the number of calories and grams of protein per kilogram of foods S and T. If a total of 7 kilograms of S and T are combined to make a certain food mixture, how many kilograms of food S are in the mixture?

(1) The mixture has a total of 12,000 calories --> say x kilograms of food S are in the mixture then there will be 7-x kilograms of food T in the mixture. Now, according to the table above we'll have: 2,000x+1,500(7-x)=12,000, since there is only one variable then we can solve for it. Sufficient.

(2) The mixture has a total of 810 grams of protein --> 150x+90(7-x)=810, since there is only one variable then we can solve for it. Sufficient.

_________________
##### General Discussion
Veritas Prep GMAT Instructor V
Joined: 16 Oct 2010
Posts: 9777
Location: Pune, India
Re: The table above gives the number of calories and grams of  [#permalink]

### Show Tags

1
1
boomtangboy wrote:
Food -- Number of Calories per Kilogram -- Number of Grams of Protein per Kilogram
S ----- 2.000 -----------------------------------------150
T ----- 1,500 -----------------------------------------90

The table above gives the number of calories and grams of protein per kilogram of foods S and T. If a total of 7 kilograms of S and T are combined to make a certain food mixture, how many kilograms of food S are in the mixture?

(1) The mixture has a total of 12,000 calories.
(2) The mixture has a total of 810 grams of protein.

Responding to a pm:

S -> 2000 C/kg and 150 P/kg
T -> 1500 C/kg and 90 P/kg

The mixture of the two is 7 kg.

Statement 1:
Mixture has 12000 C i.e. 12000/7 C/kg

The average calorie content of the mixture is 12000/7.

wT/wS = (AS - Aavg)/(Aavg - AT) (this formula represents the scale. You can either use the number line or this formula)

wT/wS = (2000 - 12000/7)/(12000/7 - 1500) = 2000/1500 = 4/3
So, in 7 kg, T was 4 kg and S was 3 kg

You don't really need to solve it. From the data you see that you have calorie content of each food and the average calorie content, so you can easily find the ratio of each food in the mixture. You also have the amount of mixture so you can easily find the amount of each food in the mixture.

Statement 2:
Mixture has 810 gms of P i.e. 810/7 P/kg

wT/wS = (150 - 810/7)/(810/7 - 90)

Again, same process as above.
_________________
Karishma
Veritas Prep GMAT Instructor

Intern  Joined: 21 Oct 2011
Posts: 9
Re: The table above gives the number of calories and grams of  [#permalink]

### Show Tags

Bunuel/ Karishma
Please let me know if this approach is ok
stmt 1
s+t = 7
2000s+1500T= 12000
solving for s , we get s is 3 and therefore sufficient

similiarly
s+t =7
150s +90 T= 810, solving for s, we get s = 3 and hence sufficient.
Math Expert V
Joined: 02 Sep 2009
Posts: 59020
Re: The table above gives the number of calories and grams of  [#permalink]

### Show Tags

yogeshwar007 wrote:
Bunuel/ Karishma
Please let me know if this approach is ok
stmt 1
s+t = 7
2000s+1500T= 12000
solving for s , we get s is 3 and therefore sufficient

similiarly
s+t =7
150s +90 T= 810, solving for s, we get s = 3 and hence sufficient.

Your solution is correct. Notice that it's basically the same as my solution here: the-table-above-gives-the-number-of-calories-and-grams-of-129998.html#p1068312 You used two variables s and t (7-s), while I used x and 7-x.
_________________
Math Expert V
Joined: 02 Sep 2009
Posts: 59020
Re: The table above gives the number of calories and grams of  [#permalink]

### Show Tags

Bumping for review and further discussion*. Get a kudos point for an alternative solution!

*New project from GMAT Club!!! Check HERE

All DS Mixture Problems to practice: search.php?search_id=tag&tag_id=43
All PS Mixture Problems to practice: search.php?search_id=tag&tag_id=114

_________________
Retired Moderator V
Joined: 27 Oct 2017
Posts: 1272
Location: India
GPA: 3.64
WE: Business Development (Energy and Utilities)
Re: The table above gives the number of calories and grams of  [#permalink]

### Show Tags

Project DS Butler: Day 52: Data Sufficiency (DS104)

Bumping for DS Butler project.
_________________ Re: The table above gives the number of calories and grams of   [#permalink] 27 Dec 2018, 09:08
Display posts from previous: Sort by

# The table above gives the number of calories and grams of  