document.write( "Question 818900: Josh's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Josh per pound, and type B coffee costs per pound. This month, Josh made pounds of the blend, for a total cost of . How many pounds of type A coffee did he use? \n" ); document.write( "
Algebra.Com's Answer #492851 by josgarithmetic(39618)![]() ![]() ![]() You can put this solution on YOUR website! Put some numbers into the description: \n" ); document.write( "' \n" ); document.write( "Josh's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs Josh L per pound, and type B coffee costs H per pound. This month, Josh made M pounds of the blend, for a total cost of c (in whatever money units). How many pounds of type A coffee did he use?\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Accounting for pounds of the coffee blend, let u = pounds of type A and let v = pounds of type B, \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Accounting for money or cost for the M pounds of the blend, \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The question asks only how much type A coffee were used. Try solving either equation for v, and substitute this formula into the other equation and solve it for u. . All other variables are assumed known. Solve this system for u and v: \n" ); document.write( "' \n" ); document.write( "---------------------- \n" ); document.write( "Lu+Hv=c \n" ); document.write( "---------------------- \n" ); document.write( "u+v=M \n" ); document.write( "----------------------\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "You could also solve for BOTH u and v if you wanted. \n" ); document.write( " |