SOLUTION: A store owner has two different blends of coffee. Brand A sells for $10.50/lb and Brand B sells for $5.75/lb. The owner wants to create a 25 lb mixture of Brand A and B to sell for
Question 271155: A store owner has two different blends of coffee. Brand A sells for $10.50/lb and Brand B sells for $5.75/lb. The owner wants to create a 25 lb mixture of Brand A and B to sell for $8.22 a pound. How much of each blend should he use? Answer by josmiceli(19441) (Show Source):
You can put this solution on YOUR website! In words:
(cost of Brand A in mix) + (cost of brand B in mix) = cost of mix
which is the same as:
(pounds of Brand A in mix) x (cost per pound) + (pounds of brand B in mix) x (cost per pound) = pounds of mix) x (cost per pound of mix)
Let = pounds of brand A in mix
Let = pounds of brand B in mix
(1)
Multiply both sides by
(2)
and, from (1),
(1)
By substitution:
(2)
and, since
He needs 13 pounds of brand A and 12 pounds of brand B
check:
OK
