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

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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.

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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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Kudos
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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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

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

Kudos points given to everyone with correct solution. Let me know if I missed someone.
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Re: If 1.5/(0.2+x)=5, then x= [#permalink]
$$\frac{1.5}{0.2+x}=5$$
$$1.5=5(0.2+x)$$
$$1.5=1 + 5x$$
$$1.5-1=5x$$
$$0.5=5x$$
$$x=0.1$$

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

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

$$x = 0.3-0.2 = 0.1$$

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

Screen Shot 2016-05-10 at 5.49.34 PM.png [ 50.93 KiB | Viewed 20307 times ]

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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

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