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Linear Equations in One Variable

SAT Math· difficulty 3/5

Mixing 40% silver alloy with pure silver to make 100 g of 80% alloy. How many grams of pure silver?

  • A

    2003\frac{200}{3}

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  • B

    1003\frac{100}{3}

  • C

    6060

  • D

    8080

Explanation

0.40(100−x)+x=0.80(100)=800.40(100 - x) + x = 0.80(100) = 80 → 40+0.6x=8040 + 0.6x = 80 → x=200/3≈66.67x = 200/3 \approx 66.67 g.

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