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):
Answer by ikleyn(52786)  (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.
////////////////
Ignore the post by @josgarithmetic, since he INCORRECTLY interprets and treats the given conditions.
|
|
|
