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# If the ratio of lilies to hydrangeas sold at a particular florist’s sh

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Math Expert
Joined: 02 Sep 2009
Posts: 55267
If the ratio of lilies to hydrangeas sold at a particular florist’s sh  [#permalink]

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10 Apr 2018, 21:54
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Difficulty:

15% (low)

Question Stats:

92% (00:55) correct 8% (01:30) wrong based on 53 sessions

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If the ratio of lilies to hydrangeas sold at a particular florist’s shop was 8:3, which of the following could be the difference between the number of lilies and hydrangeas sold?

A. 44
B. 60
C. 64
D. 66
E. 74

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Joined: 07 Dec 2017
Posts: 1058
Re: If the ratio of lilies to hydrangeas sold at a particular florist’s sh  [#permalink]

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10 Apr 2018, 23:17
2
1
Bunuel wrote:
If the ratio of lilies to hydrangeas sold at a particular florist’s shop was 8:3, which of the following could be the difference between the number of lilies and hydrangeas sold?

A. 44
B. 60
C. 64
D. 66
E. 74

Questions involving ratios can often be solved without explicit calculation, based on logical properties.
We'll look for such an approach, a Logical methodology.

Saying that there is a ratio of 8:3 between the flowers is the same as saying that there are a total of 11x flowers, 8x of the first kind and 3x of the second.
So the difference between them is 8x-3x=5x and our answer must be divisible by 5.
Only (B) fits.

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Re: If the ratio of lilies to hydrangeas sold at a particular florist’s sh  [#permalink]

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21 Apr 2018, 06:05
L/H=8/3

L-H=5x
So answer need to be multiple of 5

Only 60 among options satisfy

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Re: If the ratio of lilies to hydrangeas sold at a particular florist’s sh   [#permalink] 21 Apr 2018, 06:05
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