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Linear Equations in Two Variables

SAT Math· difficulty 4/5

A chemist has 80 mL of a 30% acid and adds pure (100%) acid to make 50% acid. Pure acid added (mL):

  • A

    2424

  • B

    3232

    check_circle
  • C

    3030

  • D

    2828

Explanation

0.30(80)+x=0.50(80+x)⇒24+x=40+0.5x⇒0.5x=16⇒x=320.30(80) + x = 0.50(80 + x) \Rightarrow 24 + x = 40 + 0.5x \Rightarrow 0.5x = 16 \Rightarrow x = 32.

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