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# A chili recipe calls for the final mixture to consist of 1/2 meat and

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Math Expert
Joined: 02 Sep 2009
Posts: 55609
A chili recipe calls for the final mixture to consist of 1/2 meat and  [#permalink]

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07 Mar 2017, 02:03
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Difficulty:

15% (low)

Question Stats:

81% (01:20) correct 19% (01:50) wrong based on 213 sessions

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A chili recipe calls for the final mixture to consist of 1/2 meat and 1/3 beans, with the remainder an even mixture of sauce and various spices. If a total of 6 pounds of sauce and spices are used, how many pounds of beans are used?

A. 3
B. 6
C. 12
D. 18
E. 24

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A chili recipe calls for the final mixture to consist of 1/2 meat and  [#permalink]

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07 Mar 2017, 02:38
5
Bunuel wrote:
A chili recipe calls for the final mixture to consist of 1/2 meat and 1/3 beans, with the remainder an even mixture of sauce and various spices. If a total of 6 pounds of sauce and spices are used, how many pounds of beans are used?

A. 3
B. 6
C. 12
D. 18
E. 24

x - total pounds of final mixture
x/2 + x/3 + 6 = x
5x/6 = x - 6
6x - 5x = 36
x = 36

pounds of beans used = x/3 = 36/3 = 12

Hence option C is correct
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Re: A chili recipe calls for the final mixture to consist of 1/2 meat and  [#permalink]

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17 Apr 2017, 11:53
1
0akshay0 wrote:
Bunuel wrote:
A chili recipe calls for the final mixture to consist of 1/2 meat and 1/3 beans, with the remainder an even mixture of sauce and various spices. If a total of 6 pounds of sauce and spices are used, how many pounds of beans are used?

A. 3
B. 6
C. 12
D. 18
E. 24

x - total pounds of final mixture
x/2 + x/3 + 6 = x
5x/6 = x - 6
6x - 5x = 36
x = 36

pounds of beans used = x/3 = 36/3 = 12

Hence option C is correct
Hit Kudos if you liked it

Thanks a bunch dude nicely explained
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Re: A chili recipe calls for the final mixture to consist of 1/2 meat and  [#permalink]

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07 Jun 2017, 09:13
Bunuel wrote:
A chili recipe calls for the final mixture to consist of 1/2 meat and 1/3 beans, with the remainder an even mixture of sauce and various spices. If a total of 6 pounds of sauce and spices are used, how many pounds of beans are used?

A. 3
B. 6
C. 12
D. 18
E. 24

The wording of the highlighted part of the question is unclear to me.
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Joined: 12 Sep 2015
Posts: 3777
Re: A chili recipe calls for the final mixture to consist of 1/2 meat and  [#permalink]

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26 Nov 2018, 10:34
1
Top Contributor
Bunuel wrote:
A chili recipe calls for the final mixture to consist of 1/2 meat and 1/3 beans, with the remainder an even mixture of sauce and various spices. If a total of 6 pounds of sauce and spices are used, how many pounds of beans are used?

A. 3
B. 6
C. 12
D. 18
E. 24

A chili recipe calls for the final mixture to consist of 1/2 meat and 1/3 beans, with the remainder an even mixture of sauce and various spices
Let's see what fraction of the final mixture is sauce and various spices
1/2 + 1/3 = 3/6 + 2/6 = 5/6
If 5/6 of the mixture is meat and beans, then the remaining 1/6 of the mixture is sauce and various spices

So, the mixture is 1/2 meat, 1/3 beans and 1/6 sauce and various spices

If a total of 6 pounds of sauce and spices are used, how many pounds of beans are used?
Notice that 1/3 is TWICE 1/6
This means the weight of beans in the mixture is TWICE the weight of sauce and spices in the mixture
So, if the mixture contains 6 pounds of sauce and spices, then it must contain 12 pounds of beans in the mixture

Cheers,
Brent
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Joined: 25 Jun 2017
Posts: 12
A chili recipe calls for the final mixture to consist of 1/2 meat and  [#permalink]

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26 Nov 2018, 10:59
1/2+1/3=5/6
Remaining sauce and spices= 1/6
which is 6 pounds
so, beans is twice of sauce and is 12 pounds

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A chili recipe calls for the final mixture to consist of 1/2 meat and   [#permalink] 26 Nov 2018, 10:59
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