A coffee distributor needs to mix a(n) Rift Valley coffee blend that normally sells for $10.20 per pound with a Terraza coffee b

Question

2 years ago

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A coffee distributor needs to mix a(n) Rift Valley coffee blend that normally sells for $10.20 per pound with a Terraza coffee b

lend 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

Mathematics

2 answers:

Leto [7] · Answer 1 · 2022-06-06T17:59:28+03:00

9514 1404 393

Answer:

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

Step-by-step 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