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If 175 billion french francs is equivalent to 35 billion

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If 175 billion french francs is equivalent to 35 billion  [#permalink]

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New post Updated on: 19 Jan 2014, 11:45
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A
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Difficulty:

  55% (hard)

Question Stats:

60% (01:22) correct 40% (01:12) wrong based on 573 sessions

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If 175 billion French francs is equivalent to 35 billion United States dollars, which of the following expressions represents the number of United States dollars equivalent to f francs?

A) f-140
B) 5f
C) 7f
D) f/5
E) f/7


The OE starts with "In this solution it is assumed that 1 billion = 109. However,
only minor modifications in the first three steps are needed (replace each appearance
of 10^9 with 10^12)".

What do they mean by that and why is that important for the question at all.
It confused me. Btw. I feel the "109" ought to be "10^9" but they misspelled it.

Millions has six zeros and billions has nine. And both numbers are given in "billions" so we
can ignore that completely anyway.

I will post OA separately but would be good to know why they wrote this. Supposedly,
everything has a reason.

(Small point: Source is not OG but Official GMATPrep Software)

Originally posted by BabySmurf on 19 Jan 2014, 10:01.
Last edited by BabySmurf on 19 Jan 2014, 11:45, edited 1 time in total.
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Re: If 175 billion french francs is equivalent to 35 billion  [#permalink]

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New post 19 Jan 2014, 10:06
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175 billion French francs = 35 billion USD Ignore billion

175 French francs = 35 USD divide by 5

35 French francs = 7 USD divide by 7

5 French francs = 1 USD divide by 5

1 French francs = 1/5 USD

f is just a variable. They could have written x, but they wrote f to
make it confusing.

Number of USD equivalent to French francs are given above. 1 Franc equals 1/5 USD.
So x Francs or for this case f equals f/5 francs.
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Re: If 175 billion french francs is equivalent to 35 billion  [#permalink]

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New post 27 Mar 2014, 22:31
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1
Drop the term "Billion"

175f = 35d

\(f = \frac{35}{175} * d\)

\(f = \frac{1}{5} * d\)

Answer = D
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Re: If 175 billion french francs is equivalent to 35 billion  [#permalink]

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New post 01 Dec 2014, 09:30
You know that 175 Francs are equal to 35 USD. (Because both currencies are in billions anyway, you can ignore the units here)

The question asks for the right-hand side of the expression USD=.... and tries to confuse you by giving you variable "f" to represent the number of Francs. Don't let the GMAT trick you, you know better than that. You probably recognized that there is a variable in every answer choice. Get your thoughts straight and pick a smart value for "f". In fact, the question already provided you with a smart number. 175.

--> If Francs=f=175 and USD=35:

Francs(or "f)*x=USD
175*x=35
x=35/175=1/5 --> So f*1/5=USD, or f/5=USD
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Re: If 175 billion french francs is equivalent to 35 billion  [#permalink]

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New post 16 Aug 2015, 22:03
1
we can eliminate few options if we are running out of time
175 francs is equivalent to 35 dollars. ..
so the dollar equivalent of f francs has to be a figure less than f itself.
eliminate b and c.
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Re: If 175 billion french francs is equivalent to 35 billion  [#permalink]

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New post 17 Aug 2015, 01:20
BabySmurf wrote:
If 175 billion French francs is equivalent to 35 billion United States dollars, which of the following expressions represents the number of United States dollars equivalent to f francs?

A) f-140
B) 5f
C) 7f
D) f/5
E) f/7


The OE starts with "In this solution it is assumed that 1 billion = 109. However,
only minor modifications in the first three steps are needed (replace each appearance
of 10^9 with 10^12)".

What do they mean by that and why is that important for the question at all.
It confused me. Btw. I feel the "109" ought to be "10^9" but they misspelled it.

Millions has six zeros and billions has nine. And both numbers are given in "billions" so we
can ignore that completely anyway.

I will post OA separately but would be good to know why they wrote this. Supposedly,
everything has a reason.

(Small point: Source is not OG but Official GMATPrep Software)


Check other Conversion problems to practice in Special Questions Directory.
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Re: If 175 billion french francs is equivalent to 35 billion  [#permalink]

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New post 25 Sep 2015, 21:47
Just logic:

1 dollar is 5 times as expensive as 1 franc. So if you have F as a amount of francs, the equivalent amount of dollars is F/5

Algebra: 175f=35d => 5f=d, so f=d/5

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Re: If 175 billion french francs is equivalent to 35 billion  [#permalink]

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New post 29 Nov 2016, 15:04
175 Francs = 35 Dollars (removed Billion portion for simplicity)

175F=35D (1)
175F/35=D (manipulate (1)) & reduce --> F/5 = D

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Re: If 175 billion french francs is equivalent to 35 billion  [#permalink]

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New post 11 Jan 2017, 07:09
3
BabySmurf wrote:
If 175 billion French francs is equivalent to 35 billion United States dollars, which of the following expressions represents the number of United States dollars equivalent to f francs?

A) f-140
B) 5f
C) 7f
D) f/5
E) f/7


We are given that 175 billion French francs = 35 billion United States dollars. We need to convert f francs to dollars. We can let x be the number of dollar that is equivalent to f francs and solve this problem using a proportion.

(175 billion)/(35 billion) = f/x

175/35 = f/x

175x = 35f

x = 35f/175

x = f/5

Answer: D
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Re: If 175 billion french francs is equivalent to 35 billion  [#permalink]

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New post 28 Feb 2017, 03:39
175 billion francs = 35 billion dollars
1 franc = 35/175 dollar = ⅕ dollar
f francs = f/5 dollars
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If 175 billion french francs is equivalent to 35 billion  [#permalink]

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New post 03 May 2018, 10:10
Bunuel wrote:
BabySmurf wrote:
If 175 billion French francs is equivalent to 35 billion United States dollars, which of the following expressions represents the number of United States dollars equivalent to f francs?

A) f-140
B) 5f
C) 7f
D) f/5
E) f/7


The OE starts with "In this solution it is assumed that 1 billion = 109. However,
only minor modifications in the first three steps are needed (replace each appearance
of 10^9 with 10^12)".

What do they mean by that and why is that important for the question at all.
It confused me. Btw. I feel the "109" ought to be "10^9" but they misspelled it.

Millions has six zeros and billions has nine. And both numbers are given in "billions" so we
can ignore that completely anyway.

I will post OA separately but would be good to know why they wrote this. Supposedly,
everything has a reason.

(Small point: Source is not OG but Official GMATPrep Software)


Check other Conversion problems to practice in Special Questions Directory.


Bunuel

if 1 USD equals 5 CHF

then why option B is icorrect ? :? 5 USD = 5*5 CHF

pushpitkc may be you can explain the logic :)

the question is : which of the following expressions represents the number of United States dollars equivalent to f francs?

Dollar to Franc
1 dollar = 5 francs

so 1d = 5F

so why B option is incorrect ? :?
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Re: If 175 billion french francs is equivalent to 35 billion  [#permalink]

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New post 03 May 2018, 17:37
The easiest method from my school time:

175 = 35
f = x (x - what we need to find),

multiply by diagonal numbers that do not have x and divide it then by the number, which is diagonal to x

x =F*35/175

It's a very convinient method to convert numbers.
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Re: If 175 billion french francs is equivalent to 35 billion  [#permalink]

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New post 04 May 2018, 02:50
1
dave13 wrote:
Bunuel wrote:
BabySmurf wrote:
If 175 billion French francs is equivalent to 35 billion United States dollars, which of the following expressions represents the number of United States dollars equivalent to f francs?

A) f-140
B) 5f
C) 7f
D) f/5
E) f/7


The OE starts with "In this solution it is assumed that 1 billion = 109. However,
only minor modifications in the first three steps are needed (replace each appearance
of 10^9 with 10^12)".

What do they mean by that and why is that important for the question at all.
It confused me. Btw. I feel the "109" ought to be "10^9" but they misspelled it.

Millions has six zeros and billions has nine. And both numbers are given in "billions" so we
can ignore that completely anyway.

I will post OA separately but would be good to know why they wrote this. Supposedly,
everything has a reason.

(Small point: Source is not OG but Official GMATPrep Software)


Check other Conversion problems to practice in Special Questions Directory.


Bunuel

if 1 USD equals 5 CHF

then why option B is icorrect ? :? 5 USD = 5*5 CHF

pushpitkc may be you can explain the logic :)

the question is : which of the following expressions represents the number of United States dollars equivalent to f francs?

Dollar to Franc
1 dollar = 5 francs

so 1d =[color=#ff0000] 5F


so why B option is incorrect ? :?


The question asks: which of the following expressions represents the number of United States dollars equivalent to f francs?

So, the question is: f francs = ? dollars. Do you see the difference between the actual question and the answer you are getting (highlighted)?

1 dollar = 5 francs, so 1 franc = 1/5 dollars. Therefore, f francs = f/5 dollars.
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Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


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Re: If 175 billion french francs is equivalent to 35 billion &nbs [#permalink] 04 May 2018, 02:50
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