Cereal \(A\) is \(10\%\) sugar by weight, whereas healthier but less delicious Cereal \(B\) is \(2\%\) sugar by weight.

[Gmat_mission]

Cereal \(A\) is \(10\%\) sugar by weight, whereas healthier but less delicious Cereal \(B\) is \(2\%\) sugar by weight. To make a delicious and healthy mixture that is \(4\%\) sugar, what should be the ratio of Cereal \(A\) to Cereal \(B,\) by weight?

(A) \(2:9\)
(B) \(2:7\)
(C) \(1:6\)
(D) \(1:4\)
(E) \(1:3\)

Answer: E

Source: Manhattan GMAT