Answer: They must mix 10
pounds of the Kenya Blend and 60
pounds of the Queen City Blend.
Step-by-step explanation:
Let x represent the the quantity of Kenya coffee blend.
Let y represent the the quantity of Queen City coffee blend.
The quantity o coffee to be created is 70 pounds. This means that
x + y = 70
The coffee distributor needs to mix a(n) Kenya coffee blend that normally sells for $11.60 per pound with a Queen City coffee blend that normally sells for $14.30 per pound to create 70 pounds of a coffee that can sell for $13.91 per pound. The total cost of the mixture is
70 × 13.91 = $973.7
The expression would be
11.6x + 14.3y = 973.7 - - - - - - - - - 1
Substituting x = 70 - y into equation 1, it becomes
11.6(70 - y) + 14.3y = 973.7
812 - 11.6y + 14.3y = 973.7
- 11.6y + 14.3y = 973.7 - 812
2.7y = 161.7
y = 161.7/2.7
y = 59.88
Approximately 60 pounds.
x = 70 - y = 70 - 60
x = 10 pounds
