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If a is multiplied by 3 and the result is 4 less than 6 times b, what
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25 May 2023, 05:52
25 May 2023, 05:52
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If a is multiplied by 3 and the result is 4 less than 6 times b, what is the value of a − 2b ?
A. -12
B. -4/3
C. -3/4
D. 4/3
E. 12
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
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A. -12
B. -4/3
C. -3/4
D. 4/3
E. 12
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our Project: Free GRE Prep Club Tests in Exchange for 20 Kudos
\(\Longrightarrow\) Cracking the GRE Premium
\(\Longrightarrow\) GRE Math Essentials - A most comprehensive handout!!
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Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Re: If a is multiplied by 3 and the result is 4 less than 6 times b, what
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25 May 2023, 09:04
25 May 2023, 09:04
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Let's express the given information in equations:
"a is multiplied by 3" can be represented as 3a.
"the result is 4 less than 6 times b" can be represented as 6b - 4.
From the given information, we can set up the equation:
3a = 6b - 4
Now, let's solve for a:
3a = 6b - 4
Divide both sides of the equation by 3:
a = (6b - 4) / 3
Next, let's find the value of a - 2b:
a - 2b = [(6b - 4) / 3] - 2b
We can simplify this expression by finding a common denominator:
a - 2b = [(6b - 4) - 6b] / 3
Simplifying further:
a - 2b = (-4) / 3
Therefore, the value of a - 2b is -4/3.
So, the correct answer is B. -4/3.
"a is multiplied by 3" can be represented as 3a.
"the result is 4 less than 6 times b" can be represented as 6b - 4.
From the given information, we can set up the equation:
3a = 6b - 4
Now, let's solve for a:
3a = 6b - 4
Divide both sides of the equation by 3:
a = (6b - 4) / 3
Next, let's find the value of a - 2b:
a - 2b = [(6b - 4) / 3] - 2b
We can simplify this expression by finding a common denominator:
a - 2b = [(6b - 4) - 6b] / 3
Simplifying further:
a - 2b = (-4) / 3
Therefore, the value of a - 2b is -4/3.
So, the correct answer is B. -4/3.
Re: If a is multiplied by 3 and the result is 4 less than 6 times b, what
[#permalink]
01 May 2024, 07:54
01 May 2024, 07:54
GeminiHeat wrote:
Let's express the given information in equations:
"a is multiplied by 3" can be represented as 3a.
"the result is 4 less than 6 times b" can be represented as 6b - 4.
From the given information, we can set up the equation:
3a = 6b - 4
Now, let's solve for a:
3a = 6b - 4
Divide both sides of the equation by 3:
a = (6b - 4) / 3
Next, let's find the value of a - 2b:
a - 2b = [(6b - 4) / 3] - 2b
We can simplify this expression by finding a common denominator:
a - 2b = [(6b - 4) - 6b] / 3
Simplifying further:
a - 2b = (-4) / 3
Therefore, the value of a - 2b is -4/3.
So, the correct answer is B. -4/3.
"a is multiplied by 3" can be represented as 3a.
"the result is 4 less than 6 times b" can be represented as 6b - 4.
From the given information, we can set up the equation:
3a = 6b - 4
Now, let's solve for a:
3a = 6b - 4
Divide both sides of the equation by 3:
a = (6b - 4) / 3
Next, let's find the value of a - 2b:
a - 2b = [(6b - 4) / 3] - 2b
We can simplify this expression by finding a common denominator:
a - 2b = [(6b - 4) - 6b] / 3
Simplifying further:
a - 2b = (-4) / 3
Therefore, the value of a - 2b is -4/3.
So, the correct answer is B. -4/3.
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