A store owner makes a special blend of coffee from Colombian Supreme costing $4.99/lb and Mocha Java costing $5.99/lb. The mixture sells for $5.93/lb. If this mixture is made in 50.0-lb batches, how many pounds of each type should be used?

The mixture contains 47 lb of Colombian Supreme and 3 lb of Mocha Java.

Step-by-step explanation:

We are given the following in the question:

Let x be the amount of Colombian supreme and y be the amount of Mocha java in the mixture.

Total amount of mixture = 50 lb

Thus, we can write the equation:

Total unit cost of mixture =  $5.93/lb

Cost of Colombian Supreme = $4.99/lb

Cost of Mocha Java = $5.99/lb

Thus, we can write the equation:

Solving the two equations by elimination method,

Thus, the mixture contains 47 lb of Colombian Supreme and 3 lb of Mocha Java.

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