Gourmet Flavored Coffee
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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