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Linear Equations in One Variable

SAT Math· difficulty 5/5

A 30% acid solution is mixed with a 70% acid solution to make 200 mL of 50% acid solution. How many mL of 70% solution?

  • A

    150

  • B

    75

  • C

    100

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  • D

    125

Explanation

0.30(200−x)+0.70x=0.50(200)=1000.30(200-x) + 0.70x = 0.50(200) = 100 → 60+0.40x=10060 + 0.40x = 100 → x=100x = 100.

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