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Three grades of milk are 1 percent, 2 percent, and 3 percent

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Three grades of milk are 1 percent, 2 percent, and 3 percent [#permalink]

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01 Aug 2008, 17:26
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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 z?

a) y + 3z
b) (y+z)/4
c) 2y + 3z
d) 3y + z
e) 3y + 4.5z

Last edited by ryguy904 on 02 Aug 2008, 12:56, edited 1 time in total.

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VP
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01 Aug 2008, 21:22
ryguy904 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, what is x in terms of z?

a) y + 3z
b) (y+z)/4
c) 2y + 3z
d) 3y + z
e) 3y + 4.5z

I doubt the Q is complete .We know that when x,y,z gallons of three types is mixed we get x+z+y gallons .
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Its Now Or Never

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Current Student
Joined: 27 Jul 2007
Posts: 872

Kudos [?]: 206 [0], given: 4

Location: Sunny So Cal
Schools: CBS, Cornell, Duke, Ross, Darden

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02 Aug 2008, 12:26
spriya wrote:
ryguy904 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, what is x in terms of z?

a) y + 3z
b) (y+z)/4
c) 2y + 3z
d) 3y + z
e) 3y + 4.5z

I doubt the Q is complete .We know that when x,y,z gallons of three types is mixed we get x+z+y gallons .

I double checked the question (it's from gmatprep) and I copied it word for word.

Any thoughts?

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Director
Joined: 27 May 2008
Posts: 541

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02 Aug 2008, 12:33
ryguy904 wrote:
spriya wrote:
ryguy904 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, what is x in terms of z?

a) y + 3z
b) (y+z)/4
c) 2y + 3z
d) 3y + z
e) 3y + 4.5z

I doubt the Q is complete .We know that when x,y,z gallons of three types is mixed we get x+z+y gallons .

I double checked the question (it's from gmatprep) and I copied it word for word.

Any thoughts?

I think you have made a mistake in typing the right question is given below

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 a 1.5% grade, what is x in terms of y and z?

A. y+3z
B. (y+z)/4
C. 2y+3
D. 3y+z
E. 3y+4,5z

Kudos [?]: 363 [0], given: 0

Current Student
Joined: 27 Jul 2007
Posts: 872

Kudos [?]: 206 [0], given: 4

Location: Sunny So Cal
Schools: CBS, Cornell, Duke, Ross, Darden

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02 Aug 2008, 12:54
durgesh79 wrote:
I think you have made a mistake in typing the right question is given below

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 a 1.5% grade, what is x in terms of y and z?

A. y+3z
B. (y+z)/4
C. 2y+3
D. 3y+z
E. 3y+4,5z

Oops!!! You are right. Thank you for pointing this out

I edited the original question to reflect this.

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Manager
Joined: 09 Jul 2008
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02 Aug 2008, 16:40
1
KUDOS
ryguy904 wrote:
durgesh79 wrote:
I think you have made a mistake in typing the right question is given below

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 a 1.5% grade, what is x in terms of y and z?

A. y+3z
B. (y+z)/4
C. 2y+3
D. 3y+z
E. 3y+4,5z

-----------------------
.01x+.02y+.03z = .015(x+y+z)
==> x+2y+3z = 1.5 (x+y+z)
==> .5x = .5y + 1.5z
==> x = y + 3z

Kudos [?]: 42 [1], given: 1

Current Student
Joined: 27 Jul 2007
Posts: 872

Kudos [?]: 206 [0], given: 4

Location: Sunny So Cal
Schools: CBS, Cornell, Duke, Ross, Darden

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04 Aug 2008, 09:35
kman wrote:
ryguy904 wrote:
durgesh79 wrote:
I think you have made a mistake in typing the right question is given below

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 a 1.5% grade, what is x in terms of y and z?

A. y+3z
B. (y+z)/4
C. 2y+3
D. 3y+z
E. 3y+4,5z

-----------------------
.01x+.02y+.03z = .015(x+y+z)
==> x+2y+3z = 1.5 (x+y+z)
==> .5x = .5y + 1.5z
==> x = y + 3z

Brilliant, thank you!
+1

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Re: Milk Mix   [#permalink] 04 Aug 2008, 09:35
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