SOLUTION: A coffee distributor needs to mix 29 pounds of Queen City coffee that normally sells for $12.60 per pound with a(n) Gazebo coffee that normally sells for $13.70 per pound to create

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A coffee distributor needs to mix 29 pounds of Queen City coffee that normally sells for $12.60 per pound with a(n) Gazebo coffee that normally sells for $13.70 per pound to create      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 800424: A coffee distributor needs to mix 29 pounds of Queen City coffee that normally sells for $12.60 per pound with a(n) Gazebo coffee that normally sells for $13.70 per pound to create a coffee blend that can sell for $13.17 per pound. How many pounds of Gazebo coffee should they mix with the Queen City coffee to achieve the desired blend?
___ pounds of the Gazebo coffee to create
____ pounds of the $13.17 per pound blend.
-Round answers to the nearest whole number of pounds.
Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
Think how to account for cost and how to account for pounds, each of these separately.

Let g = how many pounds of the Gazebo coffee to use.

COST: %2812.60%29%2829%29%2B13.70g=%2829%2Bg%29%2813.17%29

Set up that way, only the one equation is necessary. You can try to account for poundage, but you'll have an unnecessary variable. This COST equation is cost of the two parts on the left being equal to the cost of the mixture expected, on the right. SOLVE FOR g.