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# If 1.5/(0.2+x)=5, then x=

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18 Sep 2012, 01:48
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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

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Question: 42
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[Reveal] Spoiler: OA

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

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18 Sep 2012, 01:48
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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 $$0.2+x=0.3$$ --> $$x=0.1$$.

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

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18 Sep 2012, 02:21
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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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18 Sep 2012, 03:58
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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

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

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

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18 Sep 2012, 04:05
1
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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:
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!

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, $$x=0.5/5=0.1.$$

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

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18 Sep 2012, 05:21
2
KUDOS
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

Cross-multiplying both sides:
1.5 = 5(.2 + x)
=> 1.5 = 1 + 5x
=> 0.5 = 5x
=> x = .5/5
=> x = 0.1

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

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21 Sep 2012, 02:05
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 $$0.2+x=0.3$$ --> $$x=0.1$$.

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

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10 Dec 2012, 03:09
$$\frac{1.5}{0.2+x}=5$$
$$1.5=5(0.2+x)$$
$$1.5=1 + 5x$$
$$1.5-1=5x$$
$$0.5=5x$$
$$x=0.1$$

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

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30 Sep 2014, 12:33
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Re: If 1.5/(0.2+x)=5, then x= [#permalink]

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30 Sep 2014, 20:11
$$\frac{1.5}{0.2 + x} = 5$$

$$\frac{1.5}{5} = 0.2+x$$

$$x = 0.3-0.2 = 0.1$$

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

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10 May 2016, 17:00
Attached is a visual that should help.
Attachments

Screen Shot 2016-05-10 at 5.49.34 PM.png [ 50.93 KiB | Viewed 1602 times ]

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

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11 May 2016, 06:54
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

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Re: If 1.5/(0.2+x)=5, then x=   [#permalink] 11 May 2016, 06:54
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