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)\"\" \"About 
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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
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