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# If A:B = 5:2 the value of 8A+9B:8A+2B is

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Manager
Joined: 22 Sep 2010
Posts: 76
If A:B = 5:2 the value of 8A+9B:8A+2B is  [#permalink]

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19 Oct 2010, 05:36
00:00

Difficulty:

5% (low)

Question Stats:

94% (01:14) correct 6% (01:39) wrong based on 55 sessions

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If A:B = 5:2 the value of (8A+9B):(8A+2B) is

A) 26:16
B) 61:26
C) 22:29
D) 29:22
E) 26:22
Manager
Joined: 03 Jun 2010
Posts: 144
Location: United States (MI)
Concentration: Marketing, General Management
Re: If A:B = 5:2 the value of 8A+9B:8A+2B is  [#permalink]

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19 Oct 2010, 05:42
we have A=5B/2

insert into the second equation, we have 29/22
(D).
Math Expert
Joined: 02 Sep 2009
Posts: 55150
Re: If A:B = 5:2 the value of 8A+9B:8A+2B is  [#permalink]

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19 Oct 2010, 14:45
pzazz12 wrote:
If A:B = 5:2 the value of 8A+9B:8A+2B is

A) 26:16
B) 61:26
C) 22:29
D) 29:22
E) 26:22

Given: $$\frac{a}{b}=\frac{5x}{2x}$$, for some multiple $$x$$.

$$\frac{8a+9b}{8a+2b}=\frac{8*5x+9*2x}{8*5x+2*2x}=\frac{58x}{44x}=\frac{29}{22}$$.

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Joined: 18 Jan 2017
Posts: 128
Re: If A:B = 5:2 the value of 8A+9B:8A+2B is  [#permalink]

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17 Jul 2017, 11:15
pzazz12 wrote:
If A:B = 5:2 the value of (8A+9B):(8A+2B) is

A) 26:16
B) 61:26
C) 22:29
D) 29:22
E) 26:22

=====

A/B =5/2
HENCE, A= 5n and B=2n

(8A+9B):(8A+2B)
(8*5n+9*2n):(8*5n+2*2n)
58n:44n
29:22

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Re: If A:B = 5:2 the value of 8A+9B:8A+2B is   [#permalink] 17 Jul 2017, 11:15
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