Gourmet Flavored Coffee

admin — Sun, 27 Dec 2009 00:12:41 +0000

Gourmet Flavored Coffee

I have a question about math problems?

Ok so one I need an equation for:

Flavored coffee sells for $8 per pound, and gourmet tea sells for $12 per pound. How much of each should you buy to get 10 pounds for $100?

I need an equation for this one.

And for this one I need help solving it using the addition/elimination or subsitution method:
15a+15b=135
5a+5b=135

THANKS SO MUCH!!!!

Let c = amount of coffee
and t = amount of tea

Total weight: c + t = 10
Total cost: 8c + 12 t = 100

Solving:
8c + 8t = 80
8c + 12t = 100
4t = 20
t = 5
c = 5
$40 for coffee, $60 for tea

Part II:
15a + 15b = 135
5a + 5b = 135

You're not going to find a solution to this
because while the right hand sides are the same,
the left hand sides are different.
so
15a + 15b = 5a + 5b
10a = - 10 b
a = -b

Substituting that into either equation produces 0 = 135.
That is something that most of us believe is not true.

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Gourmet Flavored Coffee