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# If 2 + 5a b/2 = 3c, what is the value of b?

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Manager
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If 2 + 5a b/2 = 3c, what is the value of b?  [#permalink]

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17 Feb 2008, 13:08
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35% (medium)

Question Stats:

73% (01:44) correct 27% (01:57) wrong based on 259 sessions

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If 2 + 5a – b/2 = 3c, what is the value of b?

(1) a + c = 13

(2) -12c = -20a + 4
Manager
Joined: 20 Dec 2004
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Re: If 2 + 5a b/2 = 3c, what is the value of b?  [#permalink]

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17 Feb 2008, 13:16
B.

2 + 5a - 3c = b/2 => 4 + 10a - 6c = b => 4 + 2 (5a - 3c) = b

From 1) a + c = 13. Substituting a in above will not give b by itself. INSUFF

From 2) -12c = -20a + 4 => 5a - 3c = 1. Substituting this above will give 4 + 2 = 6.

b = 6

OA ?
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Re: If 2 + 5a b/2 = 3c, what is the value of b?  [#permalink]

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17 Feb 2008, 15:41
B

Stat 1 leaves you with an answer that still has one variable. Insuff.

Stat 2 gives you that 6c=10a-2 , and from stem you know that b=6c-4-10a. Suff.
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Re: If 2 + 5a b/2 = 3c, what is the value of b?  [#permalink]

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16 Jul 2014, 15:50
1
2 + 5a - b/2 = 3c, what is the value of b

From the equation, we have: (x2 both sides) 4 + 10a - b = 6c, so b = 4 + 10a - 6c
From (1): a + c = 13 is not sufficient since there is two options : b = f(a) or b = f(c) after replace a or c to the main equation

from (2): -12c = -20a + 4. (/4 both sides), we have -3c = -5a + 1, then we have ( x2 both sides): -6c = -10a + 2, or 10a - 6c = 2, so b = 4 + 2 = 6.

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Re: If 2 + 5a b/2 = 3c, what is the value of b?  [#permalink]

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08 Sep 2017, 22:47
suntaurian wrote:
If 2 + 5a – b/2 = 3c, what is the value of b?

(1) a + c = 13

(2) -12c = -20a + 4

St 1

cannot cancel out variables insuff

St 2

Hidden in here is

5a- 1 - in whichc case we can cancel out

B
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Re: If 2 + 5a b/2 = 3c, what is the value of b?  [#permalink]

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10 Feb 2019, 05:51
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Re: If 2 + 5a b/2 = 3c, what is the value of b?   [#permalink] 10 Feb 2019, 05:51
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# If 2 + 5a b/2 = 3c, what is the value of b?

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