A coffee distributor needs to mix a(n) Breakfast coffee blend that normally sells for $12.00 per pound with a Queen City coffee blend that normally sells for $14.10 per pound to create 80 pounds of a coffee that can sell for $12.92 per pound. How many pounds of each kind of coffee should they mix

They should mix 49.95 pounds of Breakfast coffe and 35.05 pounds of Queen city coffe

Step-by-step explanation:

first we have to perform 2 equations one to represent the quantity of liters of coffee and another the price

b =  liters of Breakfast coffe

q =  liters of Queen city coffe

b + q = 80

b * 12.00 + q * 14.10 = 80 * 12.92

we solve for b in the first equation

b + q = 80

b = 80 - q

we replace b with (80 - q) in the second equation

b * 12.00 + q * 14.10 = 80 * 12.92

(80 - q) * 12.00 + q * 14.10 = 80 * 12.92

960 - 12q + 14.10q = 1033.6

-12q + 14.10q = 1033.6 - 960

2.10q = 73.6

q = 73.6/2.10

q = 35.05

we replace q with its value in the first equation

b = 80 - q

b = 80 - 35.05

b = 49.95

They should mix 49.95 pounds of Breakfast coffe and 35.05 pounds of Queen city coffe

you could deduce the conclusion directly using the facts pertaining to the specific situation.

hope this .