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Re: If 1.5/(0.2+x)=5, then x= [#permalink]
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Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

If \(\frac{1.5}{0.2+x}=5\), then \(x=\)

(A) -3.7
(B) 0.1
(C) 0.3
(D) 0.5
(E) 2.8

Practice Questions
Question: 42
Page: 157
Difficulty: 550


GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

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When we divide a number \(D,\) the dividend, by another number \(d,\) the divisor, we obtain the quotient \(Q.\) Obviously, the dividend is the product of the quotient and the divisor: \(D=dQ.\)

In our case, \(1.5=5(0.2+x)\) or \(1.5=1+5x,\) from which \(5x=0.5\), and finally, \(x=0.5/5=0.1.\)

Answer B.
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Re: If 1.5/(0.2+x)=5, then x= [#permalink]
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solving for x we get x = 0.1
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Re: If 1.5/(0.2+x)=5, then x= [#permalink]
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Bunuel wrote:
The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

If \(\frac{1.5}{0.2+x}=5\), then \(x=\)

(A) -3.7
(B) 0.1
(C) 0.3
(D) 0.5
(E) 2.8

Practice Questions
Question: 42
Page: 157
Difficulty: 550


GMAT Club is introducing a new project: The Official Guide for GMAT® Review, 13th Edition - Quantitative Questions Project

Each week we'll be posting several questions from The Official Guide for GMAT® Review, 13th Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project:
1. Please provide your solutions to the questions;
2. Please vote for the best solutions by pressing Kudos button;
3. Please vote for the questions themselves by pressing Kudos button;
4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Thank you!

Solving the equation we get,
.3 = .2 + x
x = .1

Answer B
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Re: If 1.5/(0.2+x)=5, then x= [#permalink]
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Bunuel wrote:
If \(\frac{1.5}{0.2+x}=5\), then \(x=\)

(A) -3.7
(B) 0.1
(C) 0.3
(D) 0.5
(E) 2.8

Practice Questions
Question: 42
Page: 157
Difficulty: 550

\(\frac{1.5}{0.2+x}=5\)

Or, \(\frac{0.30}{0.20+x}=1\)

Or, \(0.30=0.20+x\)

Or, \(x = 0.10\), Answer is clearly (B)
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Re: If 1.5/(0.2+x)=5, then x= [#permalink]
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SOLUTION

If \(\frac{1.5}{0.2+x}=5\), then \(x=\)

(A) -3.7
(B) 0.1
(C) 0.3
(D) 0.5
(E) 2.8

The denominator must be equal to 0.3 in order the equation to hold true, thus \(0.2+x=0.3\) --> \(x=0.1\).

Answer: B.

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Re: If 1.5/(0.2+x)=5, then x= [#permalink]
\(\frac{1.5}{0.2+x}=5\)
\(1.5=5(0.2+x)\)
\(1.5=1 + 5x\)
\(1.5-1=5x\)
\(0.5=5x\)
\(x=0.1\)

Answer: B
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Re: If 1.5/(0.2+x)=5, then x= [#permalink]
\(\frac{1.5}{0.2 + x} = 5\)

\(\frac{1.5}{5} = 0.2+x\)

\(x = 0.3-0.2 = 0.1\)

Answer = B
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Re: If 1.5/(0.2+x)=5, then x= [#permalink]
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Attached is a visual that should help.
Attachments

Screen Shot 2016-05-10 at 5.49.34 PM.png
Screen Shot 2016-05-10 at 5.49.34 PM.png [ 50.93 KiB | Viewed 20434 times ]

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Re: If 1.5/(0.2+x)=5, then x= [#permalink]
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Bunuel wrote:
If \(\frac{1.5}{0.2+x}=5\), then \(x=\)

(A) -3.7
(B) 0.1
(C) 0.3
(D) 0.5
(E) 2.8



Solution:

We are given the following equation:

1.5/(0.2+x) = 5

We begin by multiplying both sides of the equation by (0.2 + x), and we obtain:

1.5 = 5(0.2 + x)

1.5 = 1 + 5x

0.5 = 5x

0.5/5 = x

0.1 = x

The answer is B.
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Re: If 1.5/(0.2+x)=5, then x= [#permalink]
\(\frac { 1.5 }{ 0.2+x } =5,\quad x=?\\ 1.5=5(0.2+x)\\ 1.5=1+5x\\ 1.5-1=5x\\ 0.5=5x\\ x=\frac { 0.5 }{ 5 } \\ x=0.1\)
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Re: If 1.5/(0.2+x)=5, then x= [#permalink]
1.5/0.2+x =5 => cross mutiply => 1.5 = 1.0+5x =>0.5/5 = x => 0.1
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Re: If 1.5/(0.2+x)=5, then x= [#permalink]
Bunuel wrote:
If \(\frac{1.5}{0.2+x}=5\), then \(x=\)

(A) -3.7
(B) 0.1
(C) 0.3
(D) 0.5
(E) 2.8

Practice Questions
Question: 42
Page: 157
Difficulty: 550


1.5/.3=5
.2+x=.3
x=.1

IMO B

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Re: If 1.5/(0.2+x)=5, then x= [#permalink]
Solve the equation and get the answer , it’s a straight forward question .

One can even go for plugging in the answer choice and check .
Correct answer is 0.1 , (B)

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Re: If 1.5/(0.2+x)=5, then x= [#permalink]
-> 1.5 = 5 (0.2 + x)
-> 0.3 = 0.2 + x
-> 0.1 = x

OA Option B

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Re: If 1.5/(0.2+x)=5, then x= [#permalink]
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