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SAT官方每日一题附答案和解析[数学](2014年10月16日)

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答案:C

解析:

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 (1/2)x quarts of orange dye and (1/2)x quarts of green dye. Since the orange dye has 2 parts yellow dye for each 5 parts total dye, 2/5 of it is yellow dye. Similarly, 1/3 of the green dye is yellow dye. The amount of yellow in the final mixture is given by

((2/5)(1/2)x) + ((1/3)(1/2)x) = ((1/5)x ) + ((1/6)x)

= (11/30)x quarts

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

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

重点单词   查看全部解释    
fraction ['frækʃən]

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n. 分数,小部分,破片

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measure ['meʒə]

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n. 措施,办法,量度,尺寸
v. 测量,量

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multiple ['mʌltipl]

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adj. 许多,多种多样的
n. 倍数,并联

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liquid ['likwid]

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adj. 液体的,液态的
n. 液体

 

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