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Intern  Joined: 21 Nov 2013
Posts: 37
If 175 billion french francs is equivalent to 35 billion  [#permalink]

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5
22 00:00

Difficulty:   55% (hard)

Question Stats: 61% (01:20) correct 39% (01:13) wrong based on 613 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.
Intern  Joined: 21 Nov 2013
Posts: 37
Re: If 175 billion french francs is equivalent to 35 billion  [#permalink]

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4
3
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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2
1
Drop the term "Billion"

175f = 35d

$$f = \frac{35}{175} * d$$

$$f = \frac{1}{5} * d$$

Intern  Joined: 25 Sep 2014
Posts: 5
Re: If 175 billion french francs is equivalent to 35 billion  [#permalink]

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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
Manager  Joined: 24 Nov 2013
Posts: 55
Re: If 175 billion french francs is equivalent to 35 billion  [#permalink]

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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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Joined: 02 Sep 2009
Posts: 61549
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

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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Joined: 23 Jan 2013
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Re: If 175 billion french francs is equivalent to 35 billion  [#permalink]

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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

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

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175 Francs = 35 Dollars (removed Billion portion for simplicity)

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

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

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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

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

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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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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 ? Senior Manager  G
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Posts: 368
Location: United States
Concentration: Marketing, Technology
GMAT 1: 630 Q44 V33 GMAT 2: 690 Q47 V37 GMAT 3: 710 Q50 V37 GPA: 3.25
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Re: If 175 billion french francs is equivalent to 35 billion  [#permalink]

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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.
Math Expert V
Joined: 02 Sep 2009
Posts: 61549
Re: If 175 billion french francs is equivalent to 35 billion  [#permalink]

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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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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

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)

175 = 35
1= 35/175
Then f = (35/175) * f => f/5
GMAT Club Legend  V
Joined: 11 Sep 2015
Posts: 4360
If 175 billion french francs is equivalent to 35 billion  [#permalink]

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Top Contributor
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 can solve this question using equivalent ratios in the form: French francs/United States dollars

Let x = United States dollars equivalent to f francs

We get: 175/35 = f/x
Cross multiply to get: 175x = 35f
Divide both sides by 175 to get: x = 35f/175
Simplify to get: x = f/5

Cheers,
Brent
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Posts: 4
If 175 billion french francs is equivalent to 35 billion  [#permalink]

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[quote="BabySmurf"]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

Take away the billion so 35 usd = 175 francs or 1 usd = 5 francs.

plugin a number for f franks that equals 1 usd for every 5 francs.
5 francs = how many usd? answer 1
10 francs = 2 usd
15 = 3 usd etc

plugin the chosen number in each answer choice and choose the correct answer.
so if you choose 10 for f, look for the answer that gives 2.
D) 10/5 = 2 If 175 billion french francs is equivalent to 35 billion   [#permalink] 25 Feb 2020, 21:28
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