Question

Julia owns a coffee shop. She experimented with mixing City Roast Colombian coffee that costs $7.80 per pound with French Roast Colombian coffee that costs $8.10 per pound to make a 20-pound blend. Her blend should cost her $7.92 per pound. How much of each type of coffee should she buy?

Answer 1

Given,

Cost of City Roast Colombian = $7.80 per pound

Let the weight of City Roast Colombian be x

Cost of French Roast Colombian Coffee = $ 8.10 per pound

Let the weight of French Roast Colombian Coffee be y

Blend weight is 20 pounds

So,

Julia blend should cost $7.92 per pound

So,

Multiply with 7.8

Now subtract   with

Put y=8 in x+y=20

x+8=20

x=20-8

x=12

Therefore,

City Roast Colombian weight = 12 pounds

French Roast Colombian coffee weight = 8 pounds