document.write( "Question 152920: Translate the following into a system of equations, then solve it: A customer walks into an electronics store and buys 5 MP3 players and 8 sets of headphones, paying $840. A 2nd customer buys 3 MP3 players and 4 sets of headphones, and pays $480. How much does an MP3 player cost? How much does a set of headphones cost? \n" ); document.write( "
Algebra.Com's Answer #112619 by checkley77(12844) ![]() You can put this solution on YOUR website! 5MP+8H=840 \n" ); document.write( "3MP+4H=480 MULTIPLY THIS EQUATION BY -2 & ADD THEM \n" ); document.write( "-6MP-8H=-960 \n" ); document.write( "5MP+8H=840 \n" ); document.write( "---------------------- \n" ); document.write( "-MP=-120 \n" ); document.write( "MP=$120 COST OF EACH MP3 PLAYER. \n" ); document.write( "5*120+8H=840 \n" ); document.write( "600+8H=840 \n" ); document.write( "8H=840-600 \n" ); document.write( "8H=240 \n" ); document.write( "H=240/8 \n" ); document.write( "H=$30 COST OF EACH SET OF HEADPHONES. \n" ); document.write( "PROOF: \n" ); document.write( "3*120+4*30=480 \n" ); document.write( "360+120=480 \n" ); document.write( "480=480 \n" ); document.write( " \n" ); document.write( " |