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# The number of squares is 4 times the number of circles, and the number

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Math Expert
Joined: 02 Sep 2009
Posts: 58325
The number of squares is 4 times the number of circles, and the number  [#permalink]

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20 Mar 2018, 23:14
00:00

Difficulty:

15% (low)

Question Stats:

75% (00:46) correct 25% (00:50) wrong based on 68 sessions

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The number of squares is 4 times the number of circles, and the number of circles is twice the number of triangles. What is the ratio of the number of squares to the number of triangles?

(A) 8:1
(B) 4:1
(C) 1:2
(D) 1:4
(E) 1:8

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Re: The number of squares is 4 times the number of circles, and the number  [#permalink]

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21 Mar 2018, 00:48
Bunuel wrote:
The number of squares is 4 times the number of circles, and the number of circles is twice the number of triangles. What is the ratio of the number of squares to the number of triangles?

(A) 8:1
(B) 4:1
(C) 1:2
(D) 1:4
(E) 1:8

Let us put easy numbers to solve this in 10 secs.

Let # of squares be 8 and # of circles by 2. Hence # of triangles is 1.

Squares : triangles = 8 : 1 - Option A

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Joined: 22 May 2016
Posts: 3538
The number of squares is 4 times the number of circles, and the number  [#permalink]

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21 Mar 2018, 12:08
Bunuel wrote:
The number of squares is 4 times the number of circles, and the number of circles is twice the number of triangles. What is the ratio of the number of squares to the number of triangles?

(A) 8:1
(B) 4:1
(C) 1:2
(D) 1:4
(E) 1:8

Gladiator59 's method is my first choice, but if the ratios get confusing, set up a table

S: C: T
4: 1
--|2: 1

Multiply top row by 2 (C is common factor, needs to be equal in both ratios)

S| C| T
8| 2| -
--| 2| 1

Combine:

S: C: T
8: 2: 1

Squares:Triangles
8:1

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Re: The number of squares is 4 times the number of circles, and the number  [#permalink]

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07 Apr 2018, 20:20
S = 4C , C = 2T

S / T = 4C /(C/2) = 8 / 1
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Re: The number of squares is 4 times the number of circles, and the number   [#permalink] 07 Apr 2018, 20:20
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