document.write( "Question 5342: 1. A tool rental company charges a basic fee to rent tools. An additional amount is added to this fee for each day that the tool is rented.\r
\n" );
document.write( "\n" );
document.write( "It costs $24 to rent a particular tool for 2 days. For 5 days, the rental cost is $45.\r
\n" );
document.write( "\n" );
document.write( "How much would it cost to rent this tool for 8 days?\r
\n" );
document.write( "
\n" );
document.write( "
\n" );
document.write( "\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #2777 by Abbey(339)![]() ![]() ![]() You can put this solution on YOUR website! Let x = the basic fee \n" ); document.write( "let y = the additional amount charged\r \n" ); document.write( "\n" ); document.write( "basic fee + number of days*charge = total cost\r \n" ); document.write( "\n" ); document.write( "x+5y=45 \n" ); document.write( "x+2y=24\r \n" ); document.write( "\n" ); document.write( "subtract the second equation from the first: \n" ); document.write( "3y=21 \n" ); document.write( "divide both sides by 3 \n" ); document.write( "y=$7\r \n" ); document.write( "\n" ); document.write( "put y back into either equation and solve for x: \n" ); document.write( "x+5(7)=45 \n" ); document.write( "x+35=45 \n" ); document.write( "x=10\r \n" ); document.write( "\n" ); document.write( "verify with other equation: \n" ); document.write( "x+2y=24 \n" ); document.write( "10+2(7)=24 \n" ); document.write( "10+14=24, so this is correct.\r \n" ); document.write( "\n" ); document.write( "To find out how much it costs for 8 days, \n" ); document.write( "basic charge + 8days(cost per day)=total \n" ); document.write( "10+8(7)= total \n" ); document.write( "10+56=66 \n" ); document.write( "$66 for 7 day rental \n" ); document.write( " \n" ); document.write( " |