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

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In a certain game, the units of currency of 3 countries are [#permalink]  02 Jun 2008, 08:56
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

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Re: Gmatprep Math Q Currency [#permalink]  02 Jun 2008, 09:03
Answer should be 9 I believe. (2C/3S) = (3S/4P) Cancel out the 3s's...1C/2P is the ratio... so 18P = 9C
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Re: Gmatprep Math Q Currency [#permalink]  02 Jun 2008, 09:48
utgirl826 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

straight...................................
4 pounds = 2 crowns
18 pounds = 9 crowns
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Re: Gmatprep Math Q Currency [#permalink]  02 Jun 2008, 13:16
Thank you for the help!
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Re: Gmatprep Math Q Currency [#permalink]  03 Jun 2008, 03:53
C:S:P=2x:3x:4x
therefore, C:P=1:2
So clearly 9 cents=18 pounds
utgirl826 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

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Re: Gmatprep Math Q Currency [#permalink]  03 Jun 2008, 21:37
Can someone please let me know what I am doing wrong here:

2 C = 3 S & 3S = 4P

thus 2C = 4P or P = C/2

if P=18, C should be 36 isn't it?

utgirl826 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

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Re: Gmatprep Math Q Currency [#permalink]  07 Jun 2008, 11:22
alpha_plus_gamma wrote:
Can someone please let me know what I am doing wrong here:

2 C = 3 S & 3S = 4P

thus 2C = 4P or P = C/2

if P=18, C should be 36 isn't it?

utgirl826 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

ask yourself a logical question...if 3S= 4P..shouldnt there be less Shilling out of 18Pounds?
i mean the ratio says there fewer shillings for more pounds..similarly there are fewer crwons for more shillings ..then how can there be more crowns from 18 pounds..has to be less..

i did the same mistake as you when setting up..and then when i asked myself the logical question..it became clear
Re: Gmatprep Math Q Currency   [#permalink] 07 Jun 2008, 11:22
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