document.write( "Question 993948: Rob and Amy each improved their yards by planting daylilies and ornamental grass. They bought their supplies from the same store. Rob spent $104 on 12 daylilies and 8 bunches of ornamental grass. Amy spent $22 on 6 daylilies and 1 bunch of ornamental grass. What is the cost of one daylily and the cost of one bunch of ornamental grass? \n" ); document.write( "
Algebra.Com's Answer #613113 by Boreal(15235)![]() ![]() You can put this solution on YOUR website! daylily cost=x \n" ); document.write( "grass cost=y \n" ); document.write( "12x+8y=104 \n" ); document.write( "6x+y=22 \n" ); document.write( "y=22-6x \n" ); document.write( "12x+8(22-6x)=104 by substitution \n" ); document.write( "12x+176-48x=104 \n" ); document.write( "-36x=-72 \n" ); document.write( "x=$2 for daylily \n" ); document.write( "Substitute into first \n" ); document.write( "24+8y=104 \n" ); document.write( "8y=80 \n" ); document.write( "y=$10 for ornamental grass \n" ); document.write( "======== \n" ); document.write( "check with second \n" ); document.write( "6(2)+10=$22 \n" ); document.write( " |