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# If b does not equal 0, what is the value of 4a/(3b)?

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If b does not equal 0, what is the value of 4a/(3b)?  [#permalink]

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04 Sep 2019, 23:14
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88% (00:56) correct 13% (01:06) wrong based on 40 sessions

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If b does not equal 0, what is the value of 4a/(3b)?

(1) a = b + 2

(2) a = 2b

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Re: If b does not equal 0, what is the value of 4a/(3b)?  [#permalink]

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04 Sep 2019, 23:31
If b does not equal 0, what is the value of 4a/(3b)?

(1) a = b + 2
with substitution we still stuck with 1 variable
insufficient

(2) a = 2b
with substitution we still stuck with 1 variable
insufficient

together 2b=b+2 therefore b=2
and a=4
2 equations for solving 2 variables
sufficient

therefore, C
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Re: If b does not equal 0, what is the value of 4a/(3b)?  [#permalink]

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04 Sep 2019, 23:34
1
b≠0 4a/3b=?

(1) a = b + 2
4(b+2)/3b = (4b+8)/3b......b can be any value.......different answers......INSUFFICIENT!

(2) a = 2b
4(2b)/3b = 8/3.......SUFFICIENT!

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Re: If b does not equal 0, what is the value of 4a/(3b)?  [#permalink]

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05 Sep 2019, 00:08
1
Find 4a/3b, if b not equal to 0

1. a = b+2

Insert a value in the equation
4 (b+2) / 3b = (4b+8)/3b - not sufficient, because we dont know value of b

2. a = 2b

Insert a value in the equation, we get
4(2b)/3b = 8/3 - sufficient

Thus, B is the correct answer

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Re: If b does not equal 0, what is the value of 4a/(3b)?  [#permalink]

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05 Sep 2019, 00:08
1
$$\frac{4a}{3b}$$

Statement 1: a = b + 2

a and b can take any number of values and that will give us different answers for $$\frac{4a}{3b}$$

Statement 2: a = 2b

Substitute a = 2b in the equation

$$\frac{4(2b)}{3b}$$

$$\frac{8b}{3b}$$ = $$\frac{8}{3}$$

SUFFICIENT

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Re: If b does not equal 0, what is the value of 4a/(3b)?  [#permalink]

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05 Sep 2019, 00:09
Statement 1 is not sufficient because knowing that a=2+b means 4a/3b
= (4b+8)/3b= 4/3 + 8/3b
Since we don’t know the value of b, there are countless possibilities.

Statement 2 is sufficient since it leads to 4*2b/3b =8/3.

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Re: If b does not equal 0, what is the value of 4a/(3b)?  [#permalink]

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05 Sep 2019, 01:25
#1
4*(b+2)/3b ; 4b+8/3b
b not know insufficient
#2
a = 2b
8b/3b ; 8/3
sufficient
IMO B

If b does not equal 0, what is the value of 4a/(3b)?

(1) a = b + 2

(2) a = 2b
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Re: If b does not equal 0, what is the value of 4a/(3b)?  [#permalink]

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05 Sep 2019, 02:56
If b does not equal 0, what is the value of \frac{4a}{3b}?
b ≠ 0,

(1) $$a = b + 2$$
 $$\frac{4a}{3b} = \frac{4(b + 2)}{3b}$$
 $$\frac{4a}{3b} = \frac{(4b + 8)}{3b}$$

INSUFFICIENT.

(2) $$a = 2b$$
 $$\frac{4a}{3b} = \frac{4*2b}{3b}$$
 $$\frac{4a}{3b} = \frac{8b}{3b} = \frac{8}{3}$$

SUFFICIENT.

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Re: If b does not equal 0, what is the value of 4a/(3b)?  [#permalink]

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05 Sep 2019, 03:59
Quote:
If b does not equal 0, what is the value of 4a/(3b)?

(1) a = b + 2
(2) a = 2b

b≠0

(1) a = b + 2: 4(b+2)/3b=4b+8/3b insufic.
(2) a = 2b: 4(2b)/3b=8/3 sufic.

Re: If b does not equal 0, what is the value of 4a/(3b)?   [#permalink] 05 Sep 2019, 03:59
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