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

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hmazariegos
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In a certain game, the units of currency of 3 countries are the crown, [#permalink] New post   Updated on: 26 Mar 2018, 16:46
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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

Difficulty: Low
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A

Originally posted by hmazariegos on 26 Mar 2018, 16:09.
Last edited by hmazariegos on 26 Mar 2018, 16:46, edited 2 times in total.
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hmazariegos
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Re: In a certain game, the units of currency of 3 countries are the crown, [#permalink] New post   26 Mar 2018, 16:31
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You can do ratios:

2:3:4
4:6:8
8:12:16
9:13.5:18

where 18 pounds would equal 9 crowns
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Re: In a certain game, the units of currency of 3 countries are the crown, [#permalink] New post   18 Jun 2018, 14:57
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hmazariegos 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

Difficulty: Low



let c = crown; s=shield; AND p=pound;

2c=3s=4p

2c=4p

9c=18p

9 crowns = 18 punds

Hence option A = 9 is the answer.
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Re: In a certain game, the units of currency of 3 countries are the crown, [#permalink] New post   18 Jun 2018, 15:05
18/4 * 3 = 13.5 shields
2/3 = x/13.5
x=9 crowns
Answer A
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Re: In a certain game, the units of currency of 3 countries are the crown, [#permalink] New post   18 Jun 2018, 16:36
The ratio is pretty simple here:
C : S : P --> 2 : 3 : 4

The question is, how many C's will equal 18p's. First find out how many P's are needed to get 18 based on our ratio:
18 / 4 = 4.5 --> this is going to be our multiple.

The ratio now is going to look like this:
2(x) : 4(x) --> 2(4.5) : 4(4.5) --> 9 : 18.

The answer is 9 or A
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Re: In a certain game, the units of currency of 3 countries are the crown, [#permalink] New post   20 Jun 2018, 17:16
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hmazariegos 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


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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Re: In a certain game, the units of currency of 3 countries are the crown, [#permalink] New post   21 Jun 2018, 01:58
Expert Reply

Solution



Let us write crown as C, shield as S and pound as P.

Given:

    • 2C= 3S
    • 3S= 4P

To find:

    • We need to how many crowns equal 18P.

Approach and Working:

    • 2C= 3S
    • 3S= 4P
      o 2C= 4P or C= 2P
      o Multiplying by 9, we get: 9C= 18 P

Hence, the correct answer is option A.

Answer: A
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Re: In a certain game, the units of currency of 3 countries are the crown, [#permalink] New post   21 Jun 2018, 02:33
A 2 crowns are equal to 4 pounds (double the value), then 18 pounds will equal be 18/2 crowns. Thus, 9.
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Re: In a certain game, the units of currency of 3 countries are the crown, [#permalink] New post   08 Nov 2020, 10:18
This problem is most easily solved by using ratios. Here's an explanation on YouTube:

https://www.youtube.com/watch?v=--anIA9 ... t1&index=7
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Re: In a certain game, the units of currency of 3 countries are the crown, [#permalink] New post   17 Jun 2023, 16:24
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Re: In a certain game, the units of currency of 3 countries are the crown, [#permalink]
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