document.write( "Question 114650: I am really stuck with the following word problem. Your cousin and you are earning money for your family vacation. Your cousin averages $15.00 a week babysitting and receives one $5.00 bonus. You average $10.00 a week mowing lawns and $8.00 a week running errands for your neighbor. After working the same amounts of weeks, you end up with $7.00 more than your cousin. How many weeks did you work? \n" ); document.write( "
Algebra.Com's Answer #83417 by stanbon(75887)![]() ![]() ![]() You can put this solution on YOUR website! Your cousin and you are earning money for your family vacation. Your cousin averages $15.00 a week babysitting and receives one $5.00 bonus. You average $10.00 a week mowing lawns and $8.00 a week running errands for your neighbor. After working the same amounts of weeks, you end up with $7.00 more than your cousin. How many weeks did you work? \n" ); document.write( "---------------- \n" ); document.write( "Let the # of weeks you work be \"x\". \n" ); document.write( "Cousin Earnings: 15x + 5 \n" ); document.write( "------------------------- \n" ); document.write( "Your Earnings: x(10+8) = 18x \n" ); document.write( "------------------------ \n" ); document.write( "EQUATION: \n" ); document.write( "Your earnings - cousin's earnings = 7 \n" ); document.write( "18x -(15x+5) = 7 \n" ); document.write( "3x-5 = 7 \n" ); document.write( "3x = 12 \n" ); document.write( "x = 4 weeks \n" ); document.write( "------------- \n" ); document.write( "You and your cousin each worked 4 weeks. \n" ); document.write( "================ \n" ); document.write( "Cheers, \n" ); document.write( "Stan H. \n" ); document.write( " |