SOLUTION: Ravi's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ravi $5.95 per pound, and type B coffee costs $4.40 per pound. This month's b

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Ravi's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ravi $5.95 per pound, and type B coffee costs $4.40 per pound. This month's b      Log On


   

Question 923511: Ravi's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ravi
$5.95
per pound, and type B coffee costs
$4.40
per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of
$421.30
. How many pounds of type A coffee were used?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39620) About Me  (Show Source):
You can put this solution on YOUR website!
No poundage quantities of the coffees A and B nor the mixture is given.

%284.40u%2B5.95v%29%2F%28u%2Bv%29=p, p is price for the mixture, but you also KNOW THE COST of the mixture...
%284.4u%2B5.95v%29=421.30

You also are given a ratio of type B to type A.
v%2Fu=3

Type A is the more expensive coffee, assigned quantity of pounds v.
u%2Fv=1%2F3
u=v%2F3
-
%284.4%2Av%2F3%2B5.95v%29=421.30
4.4v%2B3%285.95%29v=3%28421.30%29
%284.4%2B3%2A5.95%29v=3%28421.30%29
highlight%28v=%283%2A421.30%29%2F%284.4%2B3%2A5.95%29%29


To the nearest whole value, that is 58 pounds of type A coffee.


Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Ravi's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Ravi
$5.95
per pound, and type B coffee costs
$4.40
per pound. This month's blend used three times as many pounds of type B coffee as type A, for a total cost of
$421.30
. How many pounds of type A coffee were used?


Amount of Type A: highlight_green%2822%29 lbs