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Kris-P cereal is 10% sugar by weight, whereas healthier but less delic
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23 Jun 2010, 18:34
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Question Stats:
80% (01:11) correct 20% (01:26) wrong based on 146 sessions
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Kris-P cereal is 10% sugar by weight, whereas healthier but less delicious Bran-0 cereal is 2% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Kris-P cereal to Bran-0 cereal, by weight?
Krisp cereal is 10% sugar by weight. Brano cereal is 2% sugar by weight. If you wanted to make the mixture 4% sugar by weight what should the ratio of Krisp to Brano.
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic
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26 Jun 2010, 17:47
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Krispo is 10%. Bruno is 2%.
Question. Suppose we wanted the final solution to be 6% (not 4%). Because 6 is the midpoint between 10 and 2, wouldn't it then be clear that we would need the final solution to be half of each, and that ratio would be 1:1? It is helpful to visualize this on the number line:
2...6...10
Here we want the final solution to be 4%. So it looks like this:
2.4.....10
Because the grand average is skewed towards Bruno, in order to make the final solution 4%, clearly we need more Bruno than Krisp. In fact, because 4 is only 2 units away from 2 but 6 units away from 10, we need 6:2 or 3:1 as much Bruno as Krisp or 1:3 Krisp to Bruno.
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TAKEAWAY: The amount of skew is inversely proportional to the relative quantities of each item. If we have two groups, A, and B, then we have ("x" and "y" represent distance from the total average):
Average of A-------x-------Total average------y--------Average of B
(# in A)/(# in B) = y/x
This concept recurs fairly frequenly on the GMAT, especially in Data Sufficiency questions. If x and y are integers, then using this approach is quick and effective.
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic
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27 Jun 2010, 20:21
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Jinglander wrote:
Can someone walk me through this please
Krisp cereal is 10% sugar by weight. Brano cereal is 2% sugar by weight. If you wanted to make the mixture 4% sugar by weight what should the ratio of krisp to brano.
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic
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09 Apr 2016, 00:42
Jinglander wrote:
Krisp cereal is 10% sugar by weight. Brano cereal is 2% sugar by weight. If you wanted to make the mixture 4% sugar by weight what should the ratio of Krisp to Brano.
Say, w1 is the weight krisp, w2 is the weight of Brano
using weihted average formula w1/w2 = (c2 - avg) / (Avg-c1)
w1/w2 = 4-2 / 10-6 = 2/3
So Krisp and brano should be mixed in the ratio of 1/3.
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Kris-P cereal is 10% sugar by weight, whereas healthier but less delic
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28 Dec 2018, 13:00
Kris-P cereal is 10% sugar by weight, whereas healthier but less delicious Bran-0 cereal is 2% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Kris-P cereal to Bran-0 cereal, by weight?
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic
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28 Dec 2018, 22:45
CLIMBTHELADDER wrote:
Kris-P cereal is 10% sugar by weight, whereas healthier but less delicious Bran-0 cereal is 2% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Kris-P cereal to Bran-0 cereal, by weight?
A) 1:3 B) 2:7 C) 2:3 D) 4:5 E) 1:9
Use weighted average method.. ....B0..A.......KP So 2...4........10 Ratio of KP to B0.....\(\frac{Average-B0}{KP-average}\)=\(\frac{4-2}{10-4}\)=2/6=1/3..
Re: Kris-P cereal is 10% sugar by weight, whereas healthier but less delic
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31 Dec 2018, 01:23
CLIMBTHELADDER wrote:
Kris-P cereal is 10% sugar by weight, whereas healthier but less delicious Bran-0 cereal is 2% sugar by weight. To make a delicious and healthy mixture that is 4% sugar, what should be the ratio of Kris-P cereal to Bran-0 cereal, by weight?
A) 1:3 B) 2:7 C) 2:3 D) 4:5 E) 1:9
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80% (01:11) correct 
