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# In nation Z, 10 terble coins equal 1 galok. In nation Y, 6 barbar coin

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Math Expert
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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29 Oct 2019, 00:09
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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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Re: In nation Z, 10 terble coins equal 1 galok. In nation Y, 6 barbar coin  [#permalink]

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29 Oct 2019, 00:32
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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Re: In nation Z, 10 terble coins equal 1 galok. In nation Y, 6 barbar coin  [#permalink]

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29 Oct 2019, 08:12
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) $$\frac{21}{25}$$
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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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31 Oct 2019, 17:35
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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Re: In nation Z, 10 terble coins equal 1 galok. In nation Y, 6 barbar coin  [#permalink]

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14 Feb 2020, 09:01
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
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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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16 Feb 2020, 20:05
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
202 Reviews

5-star rated online GMAT quant
self study course

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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