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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # In nation Z, 10 terble coins equal 1 galok. In nation Y, 6 barbar coin

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Math Expert V
Joined: 02 Sep 2009
Posts: 62676
In nation Z, 10 terble coins equal 1 galok. In nation Y, 6 barbar coin  [#permalink]

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Difficulty:   35% (medium)

Question Stats: 72% (02:33) correct 28% (02:39) wrong based on 109 sessions

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In nation Z, 10 terble coins equal 1 galok. In nation Y, 6 barbar coins equal 1 murb. If a galok is worth 40% more than a murb, what is the ratio of the value of 1 terble coin to the value of 1 barbar coin?

(A) $$\frac{3}{5}$$

(B) $$\frac{11}{13}$$

(C) $$\frac{3}{7}$$

(D) $$\frac{21}{23}$$

(E) $$\frac{21}{25}$$

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Math Expert V
Joined: 02 Aug 2009
Posts: 8331
Re: In nation Z, 10 terble coins equal 1 galok. In nation Y, 6 barbar coin  [#permalink]

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Bunuel wrote:
In nation Z, 10 terble coins equal 1 galok. In nation Y, 6 barbar coins equal 1 murb. If a galok is worth 40% more than a murb, what is the ratio of the value of 1 terble coin to the value of 1 barbar coin?

(A) $$\frac{3}{5}$$

(B) $$\frac{11}{13}$$

(C) $$\frac{3}{7}$$

(D) $$\frac{21}{23}$$

(E) $$\frac{21}{25}$$

a galok is worth 40% more than a murb....g=1.4m

10 terble coins equal 1 galok------$$10t=g=1.4m......t=\frac{1.4m}{10}=\frac{14m}{100}$$
6 barbar coins equal 1 murb------- $$6b=m....b=\frac{m}{6}$$

We are looking for $$t:b = \frac{14m}{100}:\frac{m}{6}=84m:100m=21:25$$

E
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GMAT Club Legend  V
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Posts: 6036
Location: India
Concentration: Sustainability, Marketing
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Re: In nation Z, 10 terble coins equal 1 galok. In nation Y, 6 barbar coin  [#permalink]

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given
10t=1g
6b=1m
g=1.4m
so
10t=1.4m
10t=1.4*6b
t/b = 21/25
IMO E

Bunuel wrote:
In nation Z, 10 terble coins equal 1 galok. In nation Y, 6 barbar coins equal 1 murb. If a galok is worth 40% more than a murb, what is the ratio of the value of 1 terble coin to the value of 1 barbar coin?

(A) $$\frac{3}{5}$$

(B) $$\frac{11}{13}$$

(C) $$\frac{3}{7}$$

(D) $$\frac{21}{23}$$

(E) $$\frac{21}{25}$$
Target Test Prep Representative V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 9991
Location: United States (CA)
Re: In nation Z, 10 terble coins equal 1 galok. In nation Y, 6 barbar coin  [#permalink]

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Bunuel wrote:
In nation Z, 10 terble coins equal 1 galok. In nation Y, 6 barbar coins equal 1 murb. If a galok is worth 40% more than a murb, what is the ratio of the value of 1 terble coin to the value of 1 barbar coin?

(A) $$\frac{3}{5}$$

(B) $$\frac{11}{13}$$

(C) $$\frac{3}{7}$$

(D) $$\frac{21}{23}$$

(E) $$\frac{21}{25}$$

We are given that 10t = g and 6b = m. Since we are also given that g = 1.4m, we have:

10t = 1.4(6b)

10t = 8.4b

t/b = 8.4/10 = 84/100 = 21/25

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# Scott Woodbury-Stewart

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Manager  B
Joined: 22 Jan 2020
Posts: 53
Re: In nation Z, 10 terble coins equal 1 galok. In nation Y, 6 barbar coin  [#permalink]

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ScottTargetTestPrep

I think I understand why you set up the first equation as 10t = 1g

But I can't articulate why I can't do it t/g = 1/10

Your set up makes sense, but I can't figure out why the second isn't right as well.
Target Test Prep Representative V
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 9991
Location: United States (CA)
Re: In nation Z, 10 terble coins equal 1 galok. In nation Y, 6 barbar coin  [#permalink]

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Andrewcoleman wrote:
ScottTargetTestPrep

I think I understand why you set up the first equation as 10t = 1g

But I can't articulate why I can't do it t/g = 1/10

Your set up makes sense, but I can't figure out why the second isn't right as well.

10t = g is equivalent to t/g = 1/10. Just divide each side of the first equality by 10g to obtain the second equality (or multiply each side of the second equality by 10g). You can use either one.
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# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button. Re: In nation Z, 10 terble coins equal 1 galok. In nation Y, 6 barbar coin   [#permalink] 16 Feb 2020, 20:05
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