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Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber.

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Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber. [#permalink] New post 29 Aug 2018, 16:18
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Question Stats:

44% (01:23) correct 55% (02:17) wrong based on 9 sessions
Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber. Sheldon combines an amount of the two cereals in a single bowl of mixed cereal that is 65% fiber. If the bowl contains a total of 12 ounces of cereal, how much of the cereal, in ounces, is Fiber X?

(A) 3
(B) 4
(C) 6
(D) 8
(E) 9
[Reveal] Spoiler: OA

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Re: Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber. [#permalink] New post 31 Aug 2018, 02:43
I am sorry, I need have my head wraped around such type of question. would highly appriciate is someone can share a link to a video link to these type of questions.

Can somebody please explain it here.

Thanks in advance.
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Re: Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber. [#permalink] New post 31 Aug 2018, 21:50
https://www.youtube.com/watch?v=kDyhz6d ... AQ0ZvOB88z
Link for alligation and mixtures.
the above question can be solved using this concept
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Re: Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber. [#permalink] New post 15 Oct 2018, 09:56
Use the weighted average formula to get the ratio of Fiber X to Fiber Max:
[0.55X+0.70m][/x+m] = 0.65
where x is the amount of Fiber X and m is the amount of Fiber Max.
This is not that different from the regular average formula—on the top, there is the total amount of
fiber (55% of Fiber X and 70% of Fiber Max), which is divided by the total amount of cereal (x + m)
to get the average. Simplify by multiplying both sides by (x + m):
0.55x + 0.70m = 0.65(x + m)
0.55x + 0.70m = 0.65x + 0.65m
To simplify, multiply both sides of the equation by 100 to eliminate all the decimals:
55x + 70m = 65x + 65m
55x + 5m = 65x
5m = 10x
m/x= 1/2
Since m and x are in a 2 to 1 ratio, 2/3 of the total is m and 1/3 of the total is x. Since the total is 12
ounces, Fiber X accounts for (12) = 4 ounces of the mixed cereal.
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Re: Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber. [#permalink] New post 15 Oct 2018, 09:56
One shortcut to this procedure is to note that the weighted average (65%) is 10% away from Fiber
X’s percent and 5% away from Fiber Max’s percent. Since 10 is twice as much as 5, the ratio of the
two cereals is 2 to 1. However, it is a 2
Re: Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber.   [#permalink] 15 Oct 2018, 09:56
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Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber.

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