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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
Posts: 55271
Cereal loops are in a ratio of 5 : x : 3 in colors red, blue and green  [#permalink]

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01 Jan 2018, 01:41
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Difficulty:

25% (medium)

Question Stats:

72% (02:05) correct 28% (02:21) wrong based on 22 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)

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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, 01:53
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1
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, 01:54
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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Re: Cereal loops are in a ratio of 5 : x : 3 in colors red, blue and green   [#permalink] 01 Jan 2018, 01:54
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