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# In a certain ancient kingdom, the standard unit of measure was the “cr

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Math Expert
Joined: 02 Sep 2009
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In a certain ancient kingdom, the standard unit of measure was the “cr  [#permalink]

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22 Jul 2018, 00:08
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Difficulty:

15% (low)

Question Stats:

91% (00:44) correct 9% (00:49) wrong based on 33 sessions

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In a certain ancient kingdom, the standard unit of measure was the “crown,” equal to 10 standard modern inches. An alternative unit of measure was the “scepter,” equal to 14 standard modern inches. If a tower measured 70 crowns tall, how many scepters tall was it?

(A) 35
(B) 49
(C) 50
(D) 75
(E) 98

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In a certain ancient kingdom, the standard unit of measure was the “cr  [#permalink]

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22 Jul 2018, 00:33
Bunuel wrote:
In a certain ancient kingdom, the standard unit of measure was the “crown,” equal to 10 standard modern inches. An alternative unit of measure was the “scepter,” equal to 14 standard modern inches. If a tower measured 70 crowns tall, how many scepters tall was it?

(A) 35
(B) 49
(C) 50
(D) 75
(E) 98

we can convert crown to modern inches . Crown = 10 standard inches.

70*10 = 700 modern inches

now we can convert modern inches to specters. 14 Modern inches = scepter.

700/14 = 50

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Re: In a certain ancient kingdom, the standard unit of measure was the “cr  [#permalink]

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22 Jul 2018, 00:51
Bunuel wrote:
In a certain ancient kingdom, the standard unit of measure was the “crown,” equal to 10 standard modern inches. An alternative unit of measure was the “scepter,” equal to 14 standard modern inches. If a tower measured 70 crowns tall, how many scepters tall was it?

+1 for C.

70 Crown = 70 * 10 = 700 inches
700 inches per specter = 700 / 14 = 50

Hence, C.
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In a certain ancient kingdom, the standard unit of measure was the “cr  [#permalink]

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Updated on: 22 Jul 2018, 07:07
Bunuel wrote:
In a certain ancient kingdom, the standard unit of measure was the “crown,” equal to 10 standard modern inches. An alternative unit of measure was the “scepter,” equal to 14 standard modern inches. If a tower measured 70 crowns tall, how many scepters tall was it?

(A) 35
(B) 49
(C) 50
(D) 75
(E) 98

Given:
1 Crown= 10 Inches
1 Scepter= 14 inches

Tower = 70 crowns
=(70*10) Inches
=$$\frac{(70*10)}{14}$$ scepters
= 50 Scepters

While scrolling down to read the question, I caught a glimpse of tags, citing Manhattan Gmat as the source.
Given the image of Manhattan Gmat questions, I literally had to read the questions twice to make sure I am going the right way !!
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Originally posted by GmatDaddy on 22 Jul 2018, 02:29.
Last edited by GmatDaddy on 22 Jul 2018, 07:07, edited 1 time in total.
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Joined: 09 Jul 2018
Posts: 5
Re: In a certain ancient kingdom, the standard unit of measure was the “cr  [#permalink]

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22 Jul 2018, 05:35
Let crowns be represented by C, scepter by S, and Inches by I
1c = 10i
70c = 700i

1s = 14i
Therefore, 700i/14 = 50s
Re: In a certain ancient kingdom, the standard unit of measure was the “cr &nbs [#permalink] 22 Jul 2018, 05:35
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