document.write( "Question 124731: Your weekly paycheck is 10 percent less than your coworker's. Your two paychecks total 640. Find the amount of each paycheck. \n" ); document.write( "
Algebra.Com's Answer #91445 by bucky(2189)![]() ![]() ![]() You can put this solution on YOUR website! Presume that the unknown amount that your coworker gets in the weekly paycheck is represented \n" ); document.write( "by W. Since you make 10 percent less than that coworker, you make 90 percent (a factor of \n" ); document.write( "0.9 times) of what that coworker does. So the combined amount that the two of you make can be \n" ); document.write( "represented as: \n" ); document.write( ". \n" ); document.write( "W + 0.9W \n" ); document.write( ". \n" ); document.write( "and the problem tells you that this sum is 640. So you can write the equation: \n" ); document.write( ". \n" ); document.write( "W + 0.9W = 640 \n" ); document.write( ". \n" ); document.write( "Add the two terms on the left side and you get: \n" ); document.write( ". \n" ); document.write( "1.9W = 640 \n" ); document.write( ". \n" ); document.write( "Solve for W by dividing both sides of this equation by 1.9 and you have: \n" ); document.write( ". \n" ); document.write( "W = 640/1.9 = 336.84 (rounded off to the nearest hundredth) \n" ); document.write( ". \n" ); document.write( "That is what your coworker makes. Since you make 90 percent of that, the amount you make is: \n" ); document.write( ". \n" ); document.write( "0.9W = 0.9(336.84) = 303.16 (rounded off to the nearest hundredth) \n" ); document.write( ". \n" ); document.write( "Don't forget to label you answer as euros, yen, rials, pounds, dollars, pesos or whatever \n" ); document.write( "currency you are working with. \n" ); document.write( ". \n" ); document.write( "You can check this by adding the two checks together (336.84 + 303.16) and you will see that \n" ); document.write( "they do total to 640. \n" ); document.write( ". \n" ); document.write( "Hope this helps you to understand the problem. \n" ); document.write( ".\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |