algebra

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Word problems confuse me.
THe owner of a fancy food shoppe wants to mix cashews selling at $8/kg and pecans selling at $7/kg. How many kg of each kind of nuts should be mixted to get 8 kg worth $7.25/kg?

  • algebra -

    $8/kg*Xkg + $7kg*Ykg = 7.25/kg*8kg,

    Eq1: 8X + 7Y = 58,

    Eq2: X + Y = 8,
    Multiply Eq2 by -8, add the 2 Eqs and get:
    -Y = -6,
    Y = 6kgs of pecans.

    Substitute 6 for Y in Eq2 :
    X + 6 = 8,
    X = 2 kgs of cashews.

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