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Linear Functions

SAT Math· difficulty 5/5

A 5-lb mix of nuts is worth \8/lb.Ifalmondscost/lb. If almonds cost $10/lbandpeanuts/lb and peanuts $6$/lb, how many lb of almonds?

  • A

    33

  • B

    3.53.5

  • C

    22

  • D

    2.52.5

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Explanation

10a+6(5−a)=8(5)⇒10a+30−6a=40⇒4a=10⇒a=2.510a + 6(5 - a) = 8(5) \Rightarrow 10a + 30 - 6a = 40 \Rightarrow 4a = 10 \Rightarrow a = 2.5.

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