document.write( "Question 1127411: 5 cups of coffee and 4 cups of tea cost $26.80 whereas 7 cups of coffee and 6 cups of tea cost $38.60.Find the difference between the cost of 1 cup of coffee and 1 cup of tea \n" ); document.write( "
Algebra.Com's Answer #743822 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! c and t are the variables \n" ); document.write( "5c+4t=26.80 \n" ); document.write( "7c+6t=38.60 \n" ); document.write( "multiply top by 3 \n" ); document.write( "15c+12t=80.40 and bottom by -2 \n" ); document.write( "-14c-12t=-77.20 \n" ); document.write( "c=$2.80 \n" ); document.write( "therefore 14+4t=26.80, 4t=12.80 and t=$3.20 \n" ); document.write( "this checks in the second equation \n" ); document.write( "The difference between the two prices is $0.40, with tea more expensive. \n" ); document.write( " |