Question

A coffee distributor needs to mix a(n) Costa Rican coffee blend that normally sells for $9.10 per pound with a Arabian Mocha coffee blend that normally sells for $13.10 per pound to create 100 pounds of a coffee that can sell for $11.58 per pound. How many pounds of each kind of coffee should they mix?

Answer 1

9514 1404 393

Answer:

• 38 pounds Costa Rican
• 62 pounds Arabian Mocha

Explanation:

Let 'a' represent the number of pounds of Arabian Mocha in the mix. Then the number of pounds of Costa Rican blend is (100-a). The cost of the mix will be ...

9.10(100 -a) +13.10(a) = 11.58(100)

4a = 248 . . . . . . . . . . . . . collect terms, subtract 910

a = 62 . . . . . . . . . . . . divide by 4

62 pounds of Arabian Mocha and 38 pounds of Costa Rican blend should be mixed.