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# A researcher combined x ounces of a saline solution that contained 20%

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Manager
Joined: 06 Jul 2013
Posts: 59
Location: United States
GMAT 1: 720 Q49 V38
A researcher combined x ounces of a saline solution that contained 20%  [#permalink]

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01 Jul 2018, 08:37
5
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Difficulty:

45% (medium)

Question Stats:

60% (01:23) correct 40% (01:48) wrong based on 118 sessions

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A researcher combined x ounces of a saline solution that contained 20 percent saline, by volume, with y ounces of a saline solution that contained 5 percent saline, by volume, to produce z ounces of a saline solution that was 12 percent saline, by volume. What is the value of x?

(1) y = 16
(2) z = 30
Manager
Joined: 06 Jul 2013
Posts: 59
Location: United States
GMAT 1: 720 Q49 V38
A researcher combined x ounces of a saline solution that contained 20%  [#permalink]

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01 Jul 2018, 17:07
Bump -- could someone please explain why the answer isn't A? This question comes from Jeff Sackman's Word Problem Challenge, btw.
Manager
Joined: 07 Feb 2017
Posts: 176
Re: A researcher combined x ounces of a saline solution that contained 20%  [#permalink]

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01 Jul 2018, 17:30
(.2x+.05y)/z=.12
Z=x+y
(1) (.2x+.8)/(x+16)=.12
(2) (.2x+.05(30-x))/30=.12

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Manager
Joined: 01 Feb 2018
Posts: 96
Location: India
GMAT 1: 700 Q47 V38
WE: Consulting (Consulting)
Re: A researcher combined x ounces of a saline solution that contained 20%  [#permalink]

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05 Sep 2018, 23:29
1
1
TippingPoint93 wrote:
Bump -- could someone please explain why the answer isn't A? This question comes from Jeff Sackman's Word Problem Challenge, btw.

The first statement is sufficient to get x,

Solving by alligation method,

x y
20 5
12 (z = x+y)
7 8

Hence x and y will be in 7:8 ratio.

Statement 1: y = 16
If y = 16, to maintain the ratio of 7:8, x will have to be 14.
Sufficient.

Statement 2: z=30
z is nothing but x+y,
so x = $$\frac{7}{15}* 30$$
Which is 7*2 = 14.
Sufficient.

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Intern
Joined: 29 Apr 2017
Posts: 28
Location: India
Concentration: Finance, Accounting
Re: A researcher combined x ounces of a saline solution that contained 20%  [#permalink]

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11 Nov 2018, 08:46
20 x+ 5y=12x+12y

solving
x=7/8y

x+y=z

so stm1 or stmt 2 rithe of them is sufficient
Re: A researcher combined x ounces of a saline solution that contained 20%   [#permalink] 11 Nov 2018, 08:46
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