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# Cereal loops are in a ratio of 5 : x : 3 in colors red, blue and green

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Math Expert
Joined: 02 Sep 2009
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Cereal loops are in a ratio of 5 : x : 3 in colors red, blue and green [#permalink]

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01 Jan 2018, 00:41
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67% (01:12) correct 33% (02:21) wrong based on 15 sessions

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Cereal loops are in a ratio of 5 : x : 3 in colors red, blue and green respectively. If there are a total of y loops in the box, in terms of x and y how many blue loops are in the box?

A. y/(8x)
B. (8 + x)/(x + y)
C. (x + y)/(8 + x)
D. 8x/(x + y)
E. xy/(8 + x)
[Reveal] Spoiler: OA

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Re: Cereal loops are in a ratio of 5 : x : 3 in colors red, blue and green [#permalink]

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01 Jan 2018, 00:53
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Bunuel wrote:
Cereal loops are in a ratio of 5 : x : 3 in colors red, blue and green respectively. If there are a total of y loops in the box, in terms of x and y how many blue loops are in the box?

A. y/(8x)
B. (8 + x)/(x + y)
C. (x + y)/(8 + x)
D. 8x/(x + y)
E. xy/(8 + x)

Since the cereal loops are in the ratio 5:x:3(Red:Blue:Green),
if we are asked to find the number of blue loops in the box, it
must be $$\frac{x}{(5+x+3)}$$ of the total number of loops.

Since the total numbers of loops is y, the total blue loops is $$\frac{xy}{(8 + x)}$$(Option E)

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Re: Cereal loops are in a ratio of 5 : x : 3 in colors red, blue and green [#permalink]

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01 Jan 2018, 00:54
Bunuel wrote:
Cereal loops are in a ratio of 5 : x : 3 in colors red, blue and green respectively. If there are a total of y loops in the box, in terms of x and y how many blue loops are in the box?

A. y/(8x)
B. (8 + x)/(x + y)
C. (x + y)/(8 + x)
D. 8x/(x + y)
E. xy/(8 + x)

(x /x+5+3) * y
xy/(x+8)
E
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Kudos [?]: 209 [0], given: 167

Re: Cereal loops are in a ratio of 5 : x : 3 in colors red, blue and green   [#permalink] 01 Jan 2018, 00:54
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