document.write( "Question 118281: Jacob has a box of bills. There are five more $10 bills than $5 bills, but two less $2 bills than $5 bills. He saved $148. How many of each bill did he save? \n" ); document.write( "
Algebra.Com's Answer #86407 by ptaylor(2198)![]() ![]() You can put this solution on YOUR website! Let x=number of $5 bills; 5x=value of $5 bills \n" ); document.write( "Then x+5=number of $10 bills; 10(x+5)=value of $10 bills \n" ); document.write( "And x-2=number of $2 bills; 2(x-2)=value of $2 bills\r \n" ); document.write( "\n" ); document.write( "Now we are told that: \n" ); document.write( "5x+10(x+5)+2(x-2)=148 get rid of parens (distributive law) \n" ); document.write( "5x+10x+50+2x-4=148 collect like terms\r \n" ); document.write( "\n" ); document.write( "17x+46=148 subtract 46 from both sides\r \n" ); document.write( "\n" ); document.write( "17x+46-46=148-46 collect like terms again \n" ); document.write( "17x=102 divide both sides by 17 \n" ); document.write( "x=6----------------------------------number of $5 bills \n" ); document.write( "x+5=6+5=11--------------------------number of $10 bills\r \n" ); document.write( "\n" ); document.write( "x-2=6-2=4-------------------------number of $2 bills\r \n" ); document.write( "\n" ); document.write( "CK\r \n" ); document.write( "\n" ); document.write( "6*5+11*10+4*2=148\r \n" ); document.write( "\n" ); document.write( "30+110+8=148 \n" ); document.write( "148=148\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Hope this helps---ptaylor\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |