SOLUTION: Use two equations in two variables to solve the problem. A coffee supply store waits until the orders for its special coffee blend reach 100 pounds before making up a batch. Cof

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Use two equations in two variables to solve the problem. A coffee supply store waits until the orders for its special coffee blend reach 100 pounds before making up a batch. Cof      Log On


   

Question 1186327: Use two equations in two variables to solve the problem.
A coffee supply store waits until the orders for its special coffee blend reach 100 pounds before making up a batch. Coffee selling for $7.40 a pound is blended with coffee selling for $3.65 a pound to make a product that sells for $5.15 a pound. How much of each type of coffee should be used to make the blend that will fill the orders?
Answer by josgarithmetic(39625) About Me  (Show Source):
You can put this solution on YOUR website!
100 pounds mixture, blend price $5.15 per pound
$7.4 per pound
$3.65 per pound

v, how much of the $7.4 per pound coffee
u, how much of the $3.65 per pound coffee (because directions say, "use two equations in two unknowns".)
100-v, how much the $3.65 per pound coffee


system%28u%2Bv=100%2C3.65u%2B7.4v=5.15%2A100%29
-
3.65%28100-v%29%2B7.4v=515
%287.4-3.65%29v%2B365=515
v=%28515-365%29%2F%287.4-3.65%29
highlight%28v=40%29
highlight%28u=60%29

----
----
For any example of this type, https://www.algebra.com/my/mixture-price-two-part-both-parts-unknown.lesson?content_action=show_dev