In a certain game, the units of currency of 3 countries are

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BTGmoderatorDC: Moderator; Posts: 7187; Joined: Thu Sep 07, 2017 4:43 pm; Followed by:23 members

In a certain game, the units of currency of 3 countries are

by BTGmoderatorDC » Mon Sep 16, 2019 5:56 pm

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In a certain game, the units of currency of 3 countries are the crown, shield and the pound, respectively. If 2 crowns equal 3 shields and 3 shields equal 4 pounds, how many crowns equal 18 pounds?

a) 9
b) 16
c) 18
d) 32
e) 36

OA A

Source: GMAT Prep

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Source: Beat The GMAT — Problem Solving | Mon Sep 16, 2019 5:56 pm

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Jay@ManhattanReview: GMAT Instructor; Posts: 3008; Joined: Mon Aug 22, 2016 6:19 am; Location: Grand Central / New York; Thanked: 470 times; Followed by:34 members

by Jay@ManhattanReview » Mon Sep 16, 2019 8:20 pm

BTGmoderatorDC wrote:In a certain game, the units of currency of 3 countries are the crown, shield and the pound, respectively. If 2 crowns equal 3 shields and 3 shields equal 4 pounds, how many crowns equal 18 pounds?

a) 9
b) 16
c) 18
d) 32
e) 36

OA A

Source: GMAT Prep

So we have 2C = 3S = 4P => 2C = 4P => P = C/2 => 18P = 18*C/2 = 9C

The correct answer: A

Hope this helps!

-Jay
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Scott@TargetTestPrep: GMAT Instructor; Posts: 8086; Joined: Sat Apr 25, 2015 10:56 am; Location: Los Angeles, CA; Thanked: 43 times; Followed by:29 members

by Scott@TargetTestPrep » Sat Sep 21, 2019 11:15 am

BTGmoderatorDC wrote:In a certain game, the units of currency of 3 countries are the crown, shield and the pound, respectively. If 2 crowns equal 3 shields and 3 shields equal 4 pounds, how many crowns equal 18 pounds?

a) 9
b) 16
c) 18
d) 32
e) 36

OA A

Source: GMAT Prep

We are given the following:

2 crowns = 3 shields

3 shields = 4 pounds

Thus, 2 crowns = 4 pounds. Now we can let x = the number crowns equal to 18 pounds and create the proportion:

2/4 = x/18

4x = 36

x = 9

Answer: A

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