Last visit was: 22 Dec 2024, 15:09 It is currently 22 Dec 2024, 15:09

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Close

Request Expert Reply

Confirm Cancel
Verbal Expert
Joined: 18 Apr 2015
Posts: 30472
Own Kudos [?]: 36819 [8]
Given Kudos: 26100
Send PM
avatar
Intern
Intern
Joined: 08 Dec 2017
Posts: 40
Own Kudos [?]: 69 [0]
Given Kudos: 0
Send PM
User avatar
Manager
Manager
Joined: 26 Jun 2017
Posts: 102
Own Kudos [?]: 71 [0]
Given Kudos: 0
Send PM
Target Test Prep Representative
Joined: 09 May 2016
Status:Head GRE Instructor
Affiliations: Target Test Prep
Posts: 183
Own Kudos [?]: 276 [4]
Given Kudos: 114
Location: United States
Send PM
Re: Country X has three coins in its currency: a duom worth [#permalink]
3
Expert Reply
1
Bookmarks
Carcass wrote:

This question is part of GREPrepClub - The Questions Vault Project



Country X has three coins in its currency: a duom worth 2 cents, a trippim worth 11 cents, and a megam worth 19 cents. If a man has $3.21 worth of Country X's currency and cannot carry more than 20 coins, what is the least number of trip­pim he could have?

A. 0

B. 1

C. 2

D. 3

E. It cannot be determined.


Let d, t and m be the number of duom, trippim and megam, respectively. We can create the equation and the inequality:

2d + 11t + 19m = 321 and d + t + m ≤ 20

Since we want to minimize the number of trippim, we want to maximize the number of megam since it is worth the most. Let’s consider 321/19 = 16 R 17. That is, if we have 16 megam, we will have 17 cents left. So we can have 3 duom and 1 trippim to make up the 17 cents. In this case, we see that have only 1 trippim.

Remember we cannot have zero trippim because if we do, the duoms will have a cent value that it even; however 17 is odd.


Therefore, 1 is the least number of trippim we can have under the conditions given.

Answer: B
GRE Instructor
Joined: 06 Nov 2023
Posts: 88
Own Kudos [?]: 93 [2]
Given Kudos: 21
Send PM
Re: Country X has three coins in its currency: a duom worth [#permalink]
2
Let number of duom coins be x and trippim y and megam z. Since maximum number of coins is 20

x + y + z = 20

2x + 11y + 19z = 321
2x + 2y + 2z = 40

Subtracting the two equations to eliminate x gives
9y + 17z = 281

To get minimum value of y we need to maximize z

9y = 281 - 272

9y = 9

y = 1

Answer B

Adewale Fasipe, GRE, GMAT quant instructor from Lagos, Nigeria.
Prep Club for GRE Bot
Re: Country X has three coins in its currency: a duom worth [#permalink]
Moderators:
GRE Instructor
88 posts
GRE Forum Moderator
37 posts
Moderator
1115 posts
GRE Instructor
234 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne