Cereal A is 10% sugar by weight, whereas healthier but less delicious

Please read this:
https://www.gmatclub.com/forum/veritas-prep-resource-links-no-longer-available-399979.html#/2011/03 ... -averages/

Using Alligation :

Ratio of A / Ratio of B = (Avergate Wt of Mixture - Wt of B)/(Wt of A - Avergate Wt of Mixture)

=> Ratio of A / Ratio of B = (4 - 2)/(10 - 4) = 2/6 = 1/3

So they should be mixed in the ratio 1:3

Answer - E

Excellent. Thank you mate. I liked the scale method lot better

10%------------|--------4%------2%

Distance between 10 and 4 is 6
Distance between 4 and 2 is 2.

Flip the numbers while forming the ratio. So 2:6 which is 1:3. Phew!

for such questions , just write down figures in following way on paper
10 2
4
2 6 which is 1:3

What i did here is 10-4= 6 and 4-2 = 2
line number 3 is your answer.
Hope this helps !!!

Regards
aditya_don

Hi All,

This is an example of a "Weighted Average" question. These types of prompts can be solved in a variety of ways - here's how you can use the Weighted Average Formula to answer the question:

We're told that two types of cereal....
1) A certain amount of Cereal A, which is 10% sugar by weight
2) A certain amount of Cereal B, which is 2% sugar by weight

....are mixed together to form a Cereal that is 4% sugar by weight.

We're asked for the ratio of Cereal A to Cereal B in the new cereal.

A = # of ounces of Cereal A
B = # of ounces of Cereal B

[.10(A) + .02(B)]/(A+B) = .04

.1A + .02B = .04A + .04B
.06A = .02B

6A = 2B

Since the question asks for A/B, we just have to do a little more math....

A/B = 2/6 = 1/3

Final Answer:
GMAT assassins aren't born, they're made,
Rich

Hey @cheetan2u
i did it exactly as EMPOWERgmatRichC quoted.
Each and every step.
And got the answer too.
Any quicker ways?
Can we solve it any other way as the people above are quoting=> "Weighted average"
I can you explain this terminology.

Any theory would be helpful.

Simply set up an equation and solve for the answer.

Weights:
x+y=1
y=1-x
1=(1-x)+x

Solution equation with weights(note that x = part of cereal A/whole solution):
4=10x+2(1-x)
2=8x
1/4=x

As 1/4 of the solution is cereal A, the rest (3/4) must be cereal B.

1:3 is thus the answer.

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