document.write( "Question 62750This question is from textbook College Algebra
\n" );
document.write( ": HELP!!!!! Word Problem\r
\n" );
document.write( "\n" );
document.write( "A mail-order lacrosse equipment business shipped 120 packages one day. Customers are charged $3.50 for each standard-delivery package and $7.50 for each express-delivery package. Total shipping charges for the day were $596. How many of each kind of package were shipped? \r
\n" );
document.write( "\n" );
document.write( "Using substitution method of solving systems of equations. Making x=number of standard-delivery packages and y=number of express-delivery packages. \n" );
document.write( "
Algebra.Com's Answer #43582 by uma(370) ![]() You can put this solution on YOUR website! Let the number of standard delivery packages be = x\r \n" ); document.write( "\n" ); document.write( "let the number of express delivery package = y\r \n" ); document.write( "\n" ); document.write( "Then x + y = 120 \r \n" ); document.write( "\n" ); document.write( "==> y = 120 - x ---------(1) [adding -x to either side]\r \n" ); document.write( "\n" ); document.write( "Cost of x standard delivery package = $3.50x\r \n" ); document.write( "\n" ); document.write( "Cost of y express delivery package = $7.50y\r \n" ); document.write( "\n" ); document.write( "==> 3.5x + 7.5y = 596 ---------(2) \n" ); document.write( " \n" ); document.write( "Plugging in the value of y in the above we get..\r \n" ); document.write( "\n" ); document.write( "3.5x + (7.5)(120 - x) = 596\r \n" ); document.write( "\n" ); document.write( "==> 3.5x + 900 - 7.5x = 596\r \n" ); document.write( "\n" ); document.write( "==> - 4x + 900 = 596 \n" ); document.write( "==> -4x + 900 - 900 = 596 - 900 [adding - 900 to both the sides]\r \n" ); document.write( "\n" ); document.write( "==> - 4x = - 304\r \n" ); document.write( "\n" ); document.write( "==> - 4x/-4 = - 304/-4\r \n" ); document.write( "\n" ); document.write( "==> x = 76\r \n" ); document.write( "\n" ); document.write( "So y = 120 - x \n" ); document.write( " = 120 - 76\r \n" ); document.write( "\n" ); document.write( " = 44\r \n" ); document.write( "\n" ); document.write( "Number of standard delivery packages = 76\r \n" ); document.write( "\n" ); document.write( "Number of express delivery packages = 44\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Good Luck!!! \r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |