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If 175 billion French francs is equivalent to 35 billion Uni

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by BTGmoderatorDC » Sat Aug 17, 2019 5:12 pm

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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

OA D

Source: Official Guide
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by GMATGuruNY » Sun Aug 18, 2019 2:41 am
BTGmoderatorDC 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 word billion can be omitted from the prompt, as follows:
175 French francs is equivalent to 35 United States dollars.

Which of the following expressions represents the number of United States dollars equivalent to f francs?
Let f = 350.
Since 175 francs is equivalent to 35 dollars, twice the number of francs -- 350 -- is equivalent to twice the number of dollars (70).
Thus, the correct answer must yield 70 when f=350.
Only D works:
f/5 = 350/5 = 70

The correct answer is D.
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by Scott@TargetTestPrep » Fri Aug 23, 2019 10:37 am
BTGmoderatorDC 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

OA D

Source: Official Guide
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 dollars 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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by Brent@GMATPrepNow » Fri Aug 23, 2019 10:51 am
BTGmoderatorDC 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

OA D

Source: Official Guide
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

Answer: D

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