If 175 billion French francs is equivalent to 35 billion United States dollars

[BTGModeratorVI]

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

Answer: D
Source: Official Guide

[swerve]

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

Answer: D
Source: Official Guide

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) \(\dfrac{10}{5} = 2\)

Therefore, the correct answer is D

[Brent@GMATPrepNow]

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

Answer: 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

Cheers,
Brent

[Scott@TargetTestPrep]

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

Answer: 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 francs) / (35 billion dollars) = f/x

175/35 = f/x

175x = 35f

x = 35f/175

x = f/5

Answer: D