SOLUTION: Larry plans to make at least 10 pounds of a snack mix that will consist of almonds and dried fruit. If the wants the snack mix to be at least 60% almonds by weight, which system of

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Question 1195803: Larry plans to make at least 10 pounds of a snack mix that will consist of almonds and dried fruit. If the wants the snack mix to be at least 60% almonds by weight, which system of inequalities represents the constraints on the number of pounds of almonds, a, and the number of pounds of dried fruit, f?
Found 2 solutions by josgarithmetic, ikleyn:
Answer by josgarithmetic(39617)   (Show Source): You can put this solution on YOUR website!
Mixture of almonds and dried-fruit, total 10 pounds
and 60% or more by weight to be almonds

Only one inequality is really needed; maybe a combined inequality




Realistically,

Answer by ikleyn(52787)   (Show Source): You can put this solution on YOUR website!
.
Larry plans to make at least 10 pounds of a snack mix that will consist
of almonds and dried fruit.
If the wants the snack mix to be at least 60% almonds by weight,
which system of inequalities represents the constraints on the number
of pounds of almonds, a, and the number of pounds of dried fruit, f?
~~~~~~~~~~~~~~~~~~~~

The system of inequalities is

    a + f >= 10,

    a >= 0.6(a+f)     

    a >= 0, f >= 0


or any other EQUIVALENT to it.  For example

    a + f >= 10

    a - 0.6a >= 0.6f,

    a >= 0, f >= 0


which is the same as

    a + f >= 10,

    0.4a >= 0.6f,

    a >= 0, f >= 0


and is the same as

    a + f >= 10,

    a >= 1.5f,

    a >= 0, f >= 0.

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Ignore the post by @josgarithmetic, since he INCORRECTLY interprets and treats the given conditions.




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