GRE Prep Club Daily Prep
Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.
Customized
for You
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber.
[#permalink]
29 Aug 2018, 16:18
29 Aug 2018, 16:18
Expert Reply
5
Bookmarks
00:00
Question Stats:
68% (01:45) correct
31% (02:09) wrong based on 107 sessions
Hide Show timer Statistics
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
(A) 3
(B) 4
(C) 6
(D) 8
(E) 9
Re: Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber.
[#permalink]
15 Oct 2018, 09:56
15 Oct 2018, 09:56
4
1
Bookmarks
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.
[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.
General Discussion
Re: Fiber X cereal is 55% fiber. Fiber Max cereal is 70% fiber.
[#permalink]
31 Aug 2018, 02:43
31 Aug 2018, 02:43
1
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.
Can somebody please explain it here.
Thanks in advance.
