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# At a supermarket, the ratio of the number of shampoos to the number of

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Intern
Joined: 03 Jul 2016
Posts: 3
At a supermarket, the ratio of the number of shampoos to the number of  [#permalink]

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03 Jul 2016, 12:05
00:00

Difficulty:

15% (low)

Question Stats:

88% (02:18) correct 12% (03:05) wrong based on 37 sessions

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At a supermarket, the ratio of the number of shampoos to the number of soaps is 8 to 5, and the ratio of the number of drinks to the number of shampoos is 3 to 4. If the ratio of the soaps to the number of cereals is 9 to 2, what is the ratio of the number of drinks to the number of cereals?

A. 4:3
B. 15:6
C. 45:16
D. 15:4
E. 27:5
Intern
Joined: 20 Jan 2016
Posts: 42
GMAT 1: 600 Q47 V26
Re: At a supermarket, the ratio of the number of shampoos to the number of  [#permalink]

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03 Jul 2016, 12:21
emkayar wrote:
At a supermarket, the ratio of the number of shampoos to the number of soaps is 8 to 5, and the ratio of the number of drinks to the number of shampoos is 3 to 4. If the ratio of the soaps to the number of cereals is 9 to 2, what is the ratio of the number of drinks to the number of cereals?

A. 4:3
B. 15:6
C. 45:16
D. 15:4
E. 27:5

Hope it helps

Sent from my iPhone using GMAT Club Forum mobile app
Intern
Status: I am not giving up. Not yet.
Joined: 23 Jul 2015
Posts: 40
Re: How to solve a ration "chain"  [#permalink]

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03 Jul 2016, 12:23
The trick is to get all of those ratios in same terms.
Sh:Soaps=8:5
Drinks:Sh=3:4=> 6:8
Drinks:Sh:Soaps= 6:8:5
Soaps:Cer=9:2=> 9*5:2*5= 45:10
Now, Drinks:Sh:Soaps=> 6*9:8*9:5*9 = 54:72:45
Drinks:Sh:Soaps:cer= 54:72:45:10
Drinks:Cer=54:10=> 27:5

Hope it helps!
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PeeKay
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Re: At a supermarket, the ratio of the number of shampoos to the number of  [#permalink]

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03 Jul 2016, 13:19
emkayar wrote:
At a supermarket, the ratio of the number of shampoos to the number of soaps is 8 to 5, and the ratio of the number of drinks to the number of shampoos is 3 to 4. If the ratio of the soaps to the number of cereals is 9 to 2, what is the ratio of the number of drinks to the number of cereals?

A. 4:3
B. 15:6
C. 45:16
D. 15:4
E. 27:5

Shampoos : Soaps = 8 : 5
Drinks : shampoos = 3 : 4

Shampoos : Soaps : Drinks = 8 : 5 : 6

Soaps: cereals = 9 : 2

So, Shampoos : Soaps : Drinks : Cereals = 72 : 45 : 54 : 10

So, Ratio of drinks : Cereals = 54 : 10

Or, Ratio of drinks : Cereals = 27 : 5

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Thanks and Regards

Abhishek....

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Intern
Joined: 03 Jul 2016
Posts: 3
At a supermarket, the ratio of the number of shampoos to the number of  [#permalink]

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06 Jul 2016, 05:50
Abhishek009 wrote:
emkayar wrote:
At a supermarket, the ratio of the number of shampoos to the number of soaps is 8 to 5, and the ratio of the number of drinks to the number of shampoos is 3 to 4. If the ratio of the soaps to the number of cereals is 9 to 2, what is the ratio of the number of drinks to the number of cereals?

A. 4:3
B. 15:6
C. 45:16
D. 15:4
E. 27:5

Shampoos : Soaps = 8 : 5
Drinks : shampoos = 3 : 4

Shampoos : Soaps : Drinks = 8 : 5 : 6

Soaps: cereals = 9 : 2

So, Shampoos : Soaps : Drinks : Cereals = 72 : 45 : 54 : 10

So, Ratio of drinks : Cereals = 54 : 10

Or, Ratio of drinks : Cereals = 27 : 5

Shampoos : Soaps = 8 : 5 - clear
Drinks : shampoos = 3 : 4 - clear

Shampoos : Soaps : Drinks = 8 : 5 : 6 (- 6 because you lift up Drinks : Shampoo from 3:4 auf 6:8 ?)

Soaps: cereals = 9 : 2 - clear

So, Shampoos : Soaps : Drinks : Cereals = 72 : 45 : 54 : 10 - (what are you doing here? Multiplication with what? What is the logic behind that?)

So, Ratio of drinks : Cereals = 54 : 10

Or, Ratio of drinks : Cereals = 27 : 5

Thank you for your support, but it seems I have a complete blackout in this case.

Cheers
At a supermarket, the ratio of the number of shampoos to the number of   [#permalink] 06 Jul 2016, 05:50
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