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Ratios, Rates, Proportional Relationships, and Units

SAT Math· difficulty 4/5

A 200200-mL solution is 30%30\% alcohol. How many mL of pure alcohol must be added to get a 50%50\% solution?

  • A

    70 mL

  • B

    60 mL

  • C

    80 mL

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  • D

    100 mL

Explanation

Alcohol: 6060. New: 60+x60 + x in 200+x200 + x. (60+x)/(200+x)=0.5(60+x)/(200+x) = 0.5. 60+x=100+0.5x60+x = 100 + 0.5x. 0.5x=400.5x = 40, x=80x = 80.

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