Linear Equations in One Variable

SAT Math· difficulty 5/5

A chemist needs 200200 mL of a 35%35\% solution. She has unlimited supplies of 20%20\% and 50%50\% solutions. How many mL of the 50%50\% solution should she use?

  • A

    150

  • B

    120

  • C

    80

  • D

    100

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Explanation

Let xx mL of 50%50\%. 0.20(200x)+0.50x=0.35(200)0.20(200 - x) + 0.50x = 0.35(200). So 40+0.30x=7040 + 0.30x = 70, giving 0.30x=300.30x = 30 and x=100x = 100.

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