We can create the following system of equations with the information given:
Let x be the number of pounds of Organic free-trade coffee
Let y be the number of pounds of Arabian mocha coffee

Now, we can use the substitution method to isolate y in (2) and substituting into (1):


Then, since we have the x-value (number of pounds for Organic free-trade), we can substitute into (2):

Therefore, the coffee distributor would need 11 pounds of Organic free-trade and 29 pounds of Arabian mocha coffee.