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

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BTGModeratorVI: Legendary Member; Posts: 1223; Joined: Sat Feb 15, 2020 2:23 pmFollowed by: 1 member

by BTGModeratorVI » Fri Mar 06, 2020 5:58 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

Answer: D
Source: Official Guide

Source: Beat The GMAT — Problem Solving | Fri Mar 06, 2020 5:58 pm

swerve: Legendary Member; Posts: 2604; Joined: Sun Oct 29, 2017 2:04 pmFollowed by: 6 members

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

by swerve » Sat Mar 07, 2020 5:46 am

BTGModeratorVI wrote: ↑
Fri Mar 06, 2020 5:58 pm
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

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

by Brent@GMATPrepNow » Mon Mar 09, 2020 6:04 am

BTGModeratorVI wrote: ↑
Fri Mar 06, 2020 5:58 pm
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

Brent Hanneson - Creator of GMATPrepNow.com

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

by Scott@TargetTestPrep » Sat Mar 14, 2020 10:20 am

BTGModeratorVI wrote: ↑
Fri Mar 06, 2020 5:58 pm
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

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