Question

A coffee distributor needs to mix a(n) Rift Valley coffee blend that normally sells for $10.20 per pound with a Terraza coffee blend that normally sells for $13.50 per pound to create 40 pounds of a coffee that can sell for $10.37 per pound. How many pounds of each kind of coffee should they mix

Answer 1

Rift =37.92 pounds

Terraza=2.08 pounds

Answer 2

9514 1404 393

Answer:

• Rift Valley: 37 31/33 ≈ 37.94 lb
• Terraza: 2 2/33 ≈ 2.06 lb

Explanation:

Let t represent the number of pounds of Terraza blend required. Then 40-t is the number of pounds of Rift Valley blend needed. The cost of the mix will be ...

13.50t +10.20(40 -t) = 10.37(40)

3.30t = 6.8 . . . . . . . . . . . . . . . . . . . . subtract 408

t = 6.8/3.30 = 68/33 = 2 2/33 ≈ 2.06061 . . . . pounds of Terraza

Then the quantity of Rift Valley blend required is ...

40 -2 2/33 = 37 31/33 ≈ 37.93939 . . . . pounds of Rift Valley