SAT I 一日一问：2014年10月17日

The correct answer is C

Explanation

Suppose that x quarts of the final mixture of dye will be made. Since it is to be made from equal amounts of orange and green dye, it will consist of (1 over 2) times x quarts of orange dye and (1 over 2) times x quarts of green dye. Since the orange dye has 2 parts yellow dye for each 5 parts total dye, 2 over 5 of it is yellow dye. Similarly, 1 over 3 of the green dye is yellow dye. The amount of yellow in the final mixture is given by

((2 over 5) times (1 over 2) times x) + ((1 over 3) times (1 over 2) times x) = ((1 over 5) times x ) + ((1 over 6) times x)

= (11 over 30) times x quarts

So 11 over 30 of the final mixture is yellow dye.

Note: Although “quarts” were used to express the amount of the final mixture, it could have been pints or any other unit of liquid measure.

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