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Linear Equations in Two Variables

SAT Math· difficulty 4/5

Coffee A is \8/lbandBis/lb and B is $12/lb.Blend30lbworth/lb. Blend 30 lb worth $10/$ lb. How much A?

  • A

    1212 lb

  • B

    1010 lb

  • C

    1818 lb

  • D

    1515 lb

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Explanation

8a+12(30−a)=10(30)⇒8a+360−12a=300⇒a=158a + 12(30 - a) = 10(30) \Rightarrow 8a + 360 - 12a = 300 \Rightarrow a = 15.

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