It is currently 23 Jun 2017, 10:33

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# Three grades of milk are 1%, 2 % and 3% fat by volume. If x

Author Message
SVP
Joined: 28 May 2005
Posts: 1707
Location: Dhaka
Three grades of milk are 1%, 2 % and 3% fat by volume. If x [#permalink]

### Show Tags

02 Nov 2005, 14:19
1
This post was
BOOKMARKED
00:00

Difficulty:

(N/A)

Question Stats:

100% (02:47) correct 0% (00:00) wrong based on 6 sessions

### HideShow timer Statistics

This topic is locked. If you want to discuss this question please re-post it in the respective forum.

Three grades of milk are 1%, 2 % and 3% fat by volume. If x gallons of the 1% grade, y gallons of the 2% grade and z gallons of the 3% grade are mixed to give x+y+z gallons of 1.5 % grade, what is x in terms of y and z?
a. y+3z
b. (y+z)/4
c. 2y+3z
d. 3y+z
e. 3y+4.5z
_________________

hey ya......

Manager
Joined: 20 Mar 2005
Posts: 201
Location: Colombia, South America

### Show Tags

02 Nov 2005, 14:29
1/100*x + 2/100*y + 3/100*z = (x+y+z)*1.5/100

get rid of 100

x + 2y + 3z = 1.5(x+y+z)

then multiply 2

2x + 4y + 6z = 3x + 3y + 3z

solve for x

x = y + 3z

A

Last edited by conocieur on 02 Nov 2005, 16:32, edited 2 times in total.
Current Student
Joined: 28 Dec 2004
Posts: 3357
Location: New York City
Schools: Wharton'11 HBS'12

### Show Tags

02 Nov 2005, 14:31
hmm A?

lets say 1x+2y+3z=3/2(x+y+z)

bring all the X to one side...you get x=y+3z
Director
Joined: 24 Oct 2005
Posts: 572
Location: NYC

### Show Tags

02 Nov 2005, 16:16
nakib77 wrote:
Three grades of milk are 1%, 2 % and 3% fat by volume. If x gallons of the 1% grade, y gallons of the 2% grade and z gallons of the 3% grade are mixed to give x+y+z gallons of 1.5 % grade, what is x in terms of y and z?
a. y+3z
b. (y+z)/4
c. 2y+3z
d. 3y+z
e. 3y+4.5z

1% of x has .01x of fat, 2% has .02y of fat.. and .03 of fat..
total fat = .015..

.01x + .02y + .03z = .015
or.. x = 1.5-(2y+3z)

so.. x in terms of y and z is 2y + 3z.. constant can be ignored
_________________

Success is my only option, failure is not -- Eminem

SVP
Joined: 28 May 2005
Posts: 1707
Location: Dhaka

### Show Tags

02 Nov 2005, 16:38
yup OA is A.
Thanks.
_________________

hey ya......

GMAT Club Legend
Joined: 09 Sep 2013
Posts: 15926
Re: Three grades of milk are 1%, 2 % and 3% fat by volume. If x [#permalink]

### Show Tags

26 Aug 2015, 18:34
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.
_________________
Re: Three grades of milk are 1%, 2 % and 3% fat by volume. If x   [#permalink] 26 Aug 2015, 18:34
Display posts from previous: Sort by