Bolivian coffee sells for $4.59 per pound, and Colombian coffee sells for $5.95 per pound. How many pounds of each coffee should be mixed to produce 4000 pounds of mixture that will sell for $5.10 per pound

Respuesta :

The amount of pounds of each coffee that should mixed is =4,444 pounds for Bolivian coffee; and 3,429 pounds for Colombian coffee.

calculation of total amount of coffee:

Bolivian coffee = $4.59 per pound

Colombian coffee = $5.95 per pound

But 1 pound = $5.10

4000 pounds= X

X = 4000 × 5.10

X =$20,400

To solve for the amount of pounds of each coffee that should mixed to produce $20,400.

For Bolivian coffee;

$4.59 = 1 pound

$20,400 = B

cross multiply,

B = $20,400/4.59

B = 4,444 pounds

For Colombian coffee:

$5.95 = 1 pound

$20,400 = C

Cross multiply,

C = $20,400/$5.95

C = 3,429 pounds

Therefore, the amount of pounds of each coffee that should mixed is 4,444 pounds for Bolivian coffee; and 3,429 pounds for Colombian coffee.

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