The Coffee Cup

Can you write a system of equations for the following story problem?

March 1st, 2010

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

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Jestr Rulz says:

8c + 12t = 100
c + t = 10

c = weight of coffee
t = weight of tea

hayharbr says:

x = pounds of $8 coffee
y = pounds of $12 tea
10 = total pounds
so x + y = 10

8x = cost of $8 coffee
12y = cost of $12 tea
$100 = total cost
so 8x + 12y = 100