Vincen wrote: ↑Sun Jun 14, 2020 3:51 am
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
[spoiler]OA=C[/spoiler]
Source: Veritas Prep
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
