document.write( "Question 936505: Lou wants to make a coffee mixture to sell. He is going to mix Sumatra coffee which cost $2.50 per pound with Colombian coffee which cost $3.75 per pound. He wants to make 50 pounds of mix and he wants the cost of the mix to be $3.35 per pound. How many pounds of each will he need? \n" ); document.write( "
Algebra.Com's Answer #570002 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Lou wants to make a coffee mixture to sell. \n" ); document.write( " He is going to mix Sumatra coffee which cost $2.50 per pound with Colombian coffee which cost $3.75 per pound. \n" ); document.write( " He wants to make 50 pounds of mix and he wants the cost of the mix to be $3.35 per pound. \n" ); document.write( " How many pounds of each will he need? \n" ); document.write( ": \n" ); document.write( "let s = amt of Sumatra coffee required \n" ); document.write( "let c = amt of Columbian coffee \n" ); document.write( ": \n" ); document.write( "Two equations \n" ); document.write( "The resulting amt is to be 50 lb, therefore \n" ); document.write( "s + c = 50 \n" ); document.write( "s = (50-s), use this form for substitution \n" ); document.write( ": \n" ); document.write( "and the mixture equation \n" ); document.write( "2.50s + 3.75c = 3.35(50) \n" ); document.write( "replace s with (50-c) \n" ); document.write( "2.50(50-c) + 3.75c = 167.5 \n" ); document.write( "125 - 2.50c + 3.75c = 167.5 \n" ); document.write( "-2.50c + 3.75c = 167.5 - 125 \n" ); document.write( "1.25c = 42.5 \n" ); document.write( "c = 42.5/1.25 \n" ); document.write( "c = 34 lb of Columbian coffee \n" ); document.write( "and \n" ); document.write( "50 - 34 = 16 lb of Sumatra coffee \n" ); document.write( ": \n" ); document.write( "It's up to you to check the math here\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |