SOLUTION: Kira's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Kira $4.85 per pound, and type B coffee costs $5.95 per pound. This month's b

Algebra ->  Customizable Word Problem Solvers  -> Finance -> SOLUTION: Kira's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Kira $4.85 per pound, and type B coffee costs $5.95 per pound. This month's b      Log On

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Question 873825: Kira's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Kira
$4.85
per pound, and type B coffee costs
$5.95
per pound. This month's blend used twice as many pounds of type B coffee as type A, for a total cost of
$552.75
. How many pounds of type A coffee were used?
Answer by josgarithmetic(39615) About Me  (Show Source):
You can put this solution on YOUR website!
L = cheap coffee price - known
H = expensive coffee price - known
T = price of blend - known
u = pounds of cheap coffee -UNKNOWN
v = pounds of expensive coffee - UNKNOWN
v/u=2

Accounting for prices,
%28L%2Au%2BH%2Av%29%2F%28u%2Bv%29=T
and as *given, v%2Fu=2.

The given price values may be inconvenient enough that you should solve the system of equations symbolically for u and v; and then substitute the given values of prices to determine the values of u and v.

* Note, use v=2u to simplify the rational equation and first solve for u.