document.write( "Question 57679: Jane runs seven times more than she swims. She bikes seven times more than she runs. In one week, she swam, biked, and ran a total of 232 miles. How many miles did she run that week? \n" ); document.write( "
Algebra.Com's Answer #39391 by rcmcc(152)![]() ![]() You can put this solution on YOUR website! you can solve this question by setting up a linear equation,\r \n" ); document.write( "\n" ); document.write( "let our variable be X\r \n" ); document.write( "\n" ); document.write( "since she runs 7 times more than she swims we can state that swimming is x and running is 7x. since biking is 7 times more than running we can say (7)(7x) or 49X. Because the total distance is 232 miles we can set up the equation below.\r \n" ); document.write( "\n" ); document.write( "(x)+(7x)+(49x)=232\r \n" ); document.write( "\n" ); document.write( "because all the terms are alike we can add them together..\r \n" ); document.write( "\n" ); document.write( "57X=232\r \n" ); document.write( "\n" ); document.write( "now you divide both sides by 57 to isolate x\r \n" ); document.write( "\n" ); document.write( "x=4.07017......\r \n" ); document.write( "\n" ); document.write( "so she swims 4.07 miles, she runs (7)*4.07= 28.5 miles and she bikes 28.5*(7)=199.5 miles\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |