A coffee distributor plans to mix some Gualtemala Antigua coffee that normally sells for $10.20 per pound with some Arabian Mocha coffee that
normally sells for $13.00 per pound to create 20 pounds of a new coffee
blend that can sell for $11.46 per pound.
How many pounds of each kind of coffee should they mix?

pounds of Gualtemala Antigua coffee.
pounds of Arabian Mocha coffee.
Round
your answers to the nearest whole number of pounds.

11 pounds of Guatemala Antigua coffee

9 pounds of Arabian Mocha coffee

Step-by-step explanation:

Guatemala Antigua coffee - $10.20 per pound

Arabian Mocha coffee - $13.00 per pound

First find the total profit from the 20 pounds of the new coffee blend.

20 × $11.46 = $229.20

Now set up an equation.

$10.20g + $13.00a = $229.20

Use guess and check to find the number of pounds of each type of coffee.

$10.20g + $13.00a = $229.20

$10.20(11) + $13.00(9) = $229.20

$112.20 + $117 = $229.20

$229.20 = $229.20

It checks out. So, they should mix 11 pounds of Guatemala Antigua coffee and 9 pounds of Arabian Mocha coffee.

Hope that helps.