SOLUTION: Kevin's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Kevin $4.05 per pound, and type B coffee costs $5.45 per pound. This month,

Algebra ->  Customizable Word Problem Solvers  -> Coins -> SOLUTION: Kevin's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Kevin $4.05 per pound, and type B coffee costs $5.45 per pound. This month,       Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


   



Question 990613: Kevin's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Kevin
$4.05
per pound, and type B coffee costs
$5.45
per pound. This month, Kevin made
165
pounds of the blend, for a total cost of
$763.45
. How many pounds of type B coffee did he use?

Answer by josgarithmetic(39630) About Me  (Show Source):
You can put this solution on YOUR website!
x, quantity of type A coffee;
165-x, quantity of type B coffee;

Equation to Account for Cost of the Blend:
%284.05x%2B5.45%28165-x%29%29=763.45
You should be able to handle the arithmetic to solve for x, and then 165-x.

Concentration can be any unit of quantity per whole; it may be dollars per pound, or dollars per kilogram, or even parts per hundred ( meaning, percent ).

A fully worked example, although using percent instead of price, is this video:
two-part mixture percent using just one variable