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Linear Equations in One Variable

SAT Math· difficulty 4/5

A jeweler has 4040 grams of an alloy that is 30%30\% gold. How many grams of pure gold should be added to make the alloy 50%50\% gold?

  • A

    12

  • B

    16

    check_circle
  • C

    20

  • D

    24

Explanation

Gold: 0.30(40)+g=0.50(40+g)0.30(40) + g = 0.50(40 + g). So 12+g=20+0.5g12 + g = 20 + 0.5g, giving 0.5g=80.5g = 8 and g=16g = 16.

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