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Bunuel
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A chili recipe calls for the final mixture to consist of 1/2 meat and 07 Mar 2017, 02:03
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C
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81% (01:22) correct 19% (01:59) wrong based on 370 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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C
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0akshay0
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A chili recipe calls for the final mixture to consist of 1/2 meat and 07 Mar 2017, 02:38
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Bunuel
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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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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ishitam
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A chili recipe calls for the final mixture to consist of 1/2 meat and 07 Jun 2017, 09:13
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Bunuel
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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The wording of the highlighted part of the question is unclear to me.
Could someone please explain it?
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A chili recipe calls for the final mixture to consist of 1/2 meat and 26 Nov 2018, 10:34
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Bunuel
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
Show more

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

Answer: C

Cheers,
Brent
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A chili recipe calls for the final mixture to consist of 1/2 meat and 26 Nov 2018, 10:59
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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 18 Jul 2024, 00:56
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