SOLUTION: A store sells regular coffe for $4 a pound and a gourmet coffee for $7 a pound. To get rid of 40 pounds of the gourmet coffee, the shopkeeper plans to make a gourmet blend to sell

Algebra ->  Customizable Word Problem Solvers  -> Mixtures -> SOLUTION: A store sells regular coffe for $4 a pound and a gourmet coffee for $7 a pound. To get rid of 40 pounds of the gourmet coffee, the shopkeeper plans to make a gourmet blend to sell      Log On

Ad: Over 600 Algebra Word Problems at edhelper.com


    

Question 160552This question is from textbook
: A store sells regular coffe for $4 a pound and a gourmet coffee for $7 a pound. To get rid of 40 pounds of the gourmet coffee, the shopkeeper plans to make a gourmet blend to sell for $5 a pound. How many pounds of regular coffee should be used? This question is from textbook

Answer by ptaylor(2198) About Me  (Show Source):
You can put this solution on YOUR website!
Let x=amount of regular coffee needed
Now we know that the cost of the regular coffee (4x) plus the cost of the gourmet coffee(7*40) has to equal the cost of the final mixture (5(40+x)). So:
4x+7*40=5(40+x) get rid of parens (distributive)
4x+280=200+5x subtract 200 and also 4x from each side
4x-4x+280-200=200-200+5x-4x collect like terms
80=x or
x=80 lbs -----------------amount of regular coffee needed
CK
4*80+7*40=5*120
320+280=600
600=600
Hope this helps-----ptaylor