Question

The cost of coffee is determined by the type of coffee beans that are mixed together. The cost of a local mix of arabica and robusta beans is modeled by the equation below, where a = the pounds of arabica and r = pounds of robusta: (2 points) 700a + 1200r = 1,000,000 if a mixture contains 1000 pounds of arabica beans, how many pounds of robusta beans should be in the mixture? R = pounds

Answer 1

      700a + 1200r = 1,000,000

700(1000) + 1200r = 1,000,000

700,000  + 1200r = 1,000,000

                    1200r = 300,000

                           r = $\frac{300,000}{1200} = \frac{3000}{12} = 250$

Answer: 250 pounds of robusta beans