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Three grades of milk are 1 percent, 2 percent and 3 percent [#permalink]
 24 Dec 2009, 09:38
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77% (02:13) correct
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Three grades of milk are 1 percent, 2 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent 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
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Re: GMAT Prep VIC Problem [#permalink]
24 Dec 2009, 10:23
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JimmyWorld wrote: I got this problem wrong on the GMAT Prep and don't really understand it. Three grades of milk are 1 percent, 2 percent and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of a 1.5 percent 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 OA is Milk concentration in mix would be 1%x+2%y+3%z and on the other hand we are told that in (x+y+z) there is 1.5% of milk. Hence: 1%x+2%y+3%z=1.5%(x+y+z) --> x+2y+3z=1.5x+1.5y+1.5z --> 0.5x=0.5y+1.5z --> x=y+3z. Answer: A. Hope it's clear.
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Re: GMAT Practice Test 1 PS: Ratio [#permalink]
15 Jan 2012, 09:46
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\frac{x+2y+3z}{x+y+z} = \frac{3}{2}x = y+3z
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Re: Three grades of milk are 1 percent, 2 percent and 3 percent [#permalink]
15 Jan 2012, 17:00
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Its A, just put the words into equation x+2Y+3Z=1.5(X+2Y+3Z) X=Y+3Z Hope it clarifies +1 Kudos if it helps
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Re: Three grades of milk are 1 percent, 2 percent and 3 percent [#permalink]
22 Jan 2012, 08:04
Thanks! Sounds easy after i read your reply! Did not think through the whole question..
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Re: Mixture of different grades (Milk fat by volume) [#permalink]
22 Jan 2012, 18:56
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MSoS wrote: Hi, would someone please so kind and explain the question:
Three grades of milk are 1 percent, 2 percent, and 3 percent fat by volume. If x gallons of the q percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x + y + z gallons of a 1.5 percent 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
Thanks a lot... A quick approach: The question asks you for x in terms of y and z. Whatever values x, y and z can take, this relation should hold. Since we mix 1%, 2% and 3% milk and get 1.5% milk, one way of mixing them could be that 1% and 2% are mixed in equal quantities (to give 1.5% milk) and 3% milk is not added at all. Which means x = 1, y = 1 and z = 0 should satisfy the relation between x, y and z. The only relation that satisfies these values is (A). Note: If multiple options satisfied these values, you could take another set of values e.g. x = 3, y = 0 and z = 1 and check out of the shortlisted options.
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Re: GMAT prep question 1 [#permalink]
22 Mar 2012, 03:16
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imadkho wrote: Three grades of milk are 1 percent, 2 percent, and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x+y+z gallons of 1.5 percent 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 0.01x+0.02y+0.03z=0.015(x+y+z) => x=y+3z hence A
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Three grades of milk are 1 percent, 2 percent and 3 percent [#permalink]
10 May 2012, 11:33
Hi all,
I think I have seen a problem like this somewhere, but in DS form
If
(1) is x= y + 3z
and (2) gives you the y:z ratio
Is the second one sufficient? I somehow feel that it should be, but can't find the reasoning for that.What can we do here? pick numbers? Or is it exessive info and thus is sufficient?
sorry, I can't quote the exact second choice.
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Three grades of milk are 1 percent, 2 percent and 3 percent [#permalink]
12 May 2012, 23:29
Yep this one would have seemed more obtuse to me until I realized that the percentages were meant to be for the fat content in milk.
Combining the various milk types we got a 1.5% of fat content in the resulting mixture.
Got the same answer y+3z.
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help need! hard weighted average question [#permalink]
17 Sep 2012, 17:06
three grades of milk are 1 percent 2 percent and 3 percent fat by volume. if x gallons of the 1 percent y gallons of the 2 percent and z gallons of the 3 percent are mixed to give x +y+z gallons of a 1.5 percent grade, what is x in terms of y and z? Thanks in advance!!!
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Re: Three grades of milk are 1 percent, 2 percent and 3 percent [#permalink]
28 Sep 2012, 03:10
1%x + 2%y + 3%z = 1.5% (x+y+z)
2%y - 1.5%y + 3%z - 1.5%z = 1.5%x - 1%x
2(.5y + 1.5z = .5x)
y + 3z = x
Answer: A
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Three grades of milk are 1 percent, 2 percent, and 3 percent [#permalink]
22 Oct 2012, 17:41
Three grades of milk are 1 percent, 2 percent, and 3 percent fat by volume. If x gallons of the 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3 percent grade are mixed to give x + y + z gallons of a 1.5 percent grade, what is x in terms of y and z? (A) y + 3z (B) \frac{y + z}{4}(C) 2y + 3z (D) 3y + z (E) 3y + 4.5z
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Re: Three grades of milk are 1 percent, 2 percent, and 3 percent [#permalink]
22 Oct 2012, 20:01
(x/100)+ (2y/100)+(3z/100) = 1.5 (x+y+z)/100 - > cancel out 100 on each side. x+2y+3z = 1.5x+1.5y+1.5z -> bring x to one side of = sign .5x=.5y+1.5x -> multiply by 2 on both side x=y+3z ______________ is the answer
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Re: Three grades of milk are 1 percent, 2 percent, and 3 percent [#permalink]
23 Oct 2012, 02:25
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Re: Three grades of milk are 1 percent, 2 percent, and 3 percent
[#permalink]
23 Oct 2012, 02:25
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