document.write( "Question 1111362: Question 3 Nicole's Coffee Shop makes a blend that is a mixture of two types of coffee. Type A coffee costs $5.30 Nicole per pound, and type B coffee costs $4.05 per pound. This month, Nicole made 169 pounds of the blend, for a total cost of $803.20. How many pounds of type A coffee did she use? \n" ); document.write( "
Algebra.Com's Answer #726345 by addingup(3677)![]() ![]() You can put this solution on YOUR website! Type A = 5.30/lb \n" ); document.write( "Type B = 4.05/lb \n" ); document.write( "-------------------------- \n" ); document.write( "1st equation \n" ); document.write( "A + B = 169 lbs, subtract A from both sides: \n" ); document.write( "B = 169-A \n" ); document.write( "2nd equation \n" ); document.write( "5.30A + 4.05B = 803.20 \n" ); document.write( "In this second equation, substitute for B with the result of the 1st equation: \n" ); document.write( "5.30A + 4.05(169-A) = 803.2 \n" ); document.write( "5.30A + 684.45 - 4.05A = 803.2 \n" ); document.write( "1.25A = 118.75 \n" ); document.write( "A = 95 \n" ); document.write( "so there you have it, you need 95 pounds of coffee A. \n" ); document.write( " \n" ); document.write( " |