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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 19 Jan 2014, 10:01
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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


[Reveal] Spoiler:
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)
[Reveal] Spoiler: OA

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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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
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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
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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


[Reveal] Spoiler:
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)


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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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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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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
Re: If 175 billion french francs is equivalent to 35 billion   [#permalink] 28 Feb 2017, 03:39
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If 175 billion french francs is equivalent to 35 billion

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