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SAT官方每日一题附答案和解析[数学](2018年11月23日)

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答案:C

解析:

Choice C is correct. Since xmL of the 50% solution will be combined with ymL of the 25% solution to obtain 300mL of a 40% solution, it follows that x+y=300.

Since the pharmacist will mix xmL of the 50% solution and ymL of the 25% solution, the amount of actual medicine in the mixture is 0.5x+0.25y.

The doctor orders 300mL of the medicine at 40% solution. Which is (300)*(0.4)=120 milliliters of medicine.

Since the amount of actual medicine in the mixture must equal the amount of actual medicine in the end result, 0.5x+0.25y=120.

This all gives the following system of equations:

x+y=300

0.5x+0.25y=120

To find the value of x, eliminate y. Multiplying the first equation by -0.25 gives the following system:

-0.25x-0.25y=-75

0.5x+0.25y=120

Adding the two equations yields: 0.25x=45 And so x=180.

重点单词   查看全部解释    
equation [i'kweiʃən]

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n. 相等,方程(式), 等式,均衡

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available [ə'veiləbl]

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adj. 可用的,可得到的,有用的,有效的

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obtain [əb'tein]

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vt. 获得,得到
vi. 通用,流行,存在

 
pharmacist ['fɑ:məsist]

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n. 药剂师,药商

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eliminate [i'limineit]

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v. 除去,剔除; 忽略

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solution [sə'lu:ʃən]

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n. 解答,解决办法,溶解,溶液

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certain ['sə:tn]

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adj. 确定的,必然的,特定的
pron.

 

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