A coffee manufacturer uses Colombian and Brazilian coffee beans to produce two​ blends, robust and mild. A pound of the robust blend requires 14 ounces of Colombian beans and 2 ounces of Brazilian beans. A pound of the mild blend requires 8 ounces of Colombian beans and 8 ounces of Brazilian beans. Coffee is shipped in 50-pound burlap bags. The company has 41 bags of Colombian beans and 30 bags of Brazilian beans on hand. How many pounds of each blend should they produce in order to use all the available​ beans?

A coffee manufacturer uses Colombian and Brazilian coffee beans to produce two​ blends, robust and mild. A pound of the robust blend requires 14 ounces of Colombian beans and 2 ounces of Brazilian beans. A pound of the mild blend requires 8 ounces of Colombian beans and 8 ounces of Brazilian beans. Coffee is shipped in 50-pound burlap bags. The company has 41 bags of Colombian beans and 30 bags of Brazilian beans on hand. How many pounds of each blend should they produce in order to use all the available​ beans? 

Answer

First choose variables to represent the unknown quantities. The question asks for the pounds of each blend to​ produce, so introduce variables for the amount of each blend produced.

 

 

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