document.write( "Question 987141: There are tree triplets. Ed and Ned have $135 total combined, Ed and Ted have $153 total combined, and Ned and Ted have $122 combined. How much do all three have together? And how much do each individual have? \n" ); document.write( "
Algebra.Com's Answer #608007 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! There are tree triplets. Ed and Ned have $135 total combined, Ed and Ted have $153 total combined, and Ned and Ted have $122 combined. How much do all three have together? And how much do each individual have? \n" ); document.write( ": \n" ); document.write( "Using elimination, write the three equation and add as follows \n" ); document.write( "e + n + 0 = 135 \n" ); document.write( "e + 0 + t = 153 \n" ); document.write( "0 + n + t = 122 \n" ); document.write( "----------------- \n" ); document.write( "2e + 2n + 2t = 410 \n" ); document.write( "Simplify, divide by 2 \n" ); document.write( "e + n + t = 205 \n" ); document.write( ": \n" ); document.write( "Subtract the 1st equation from the above \n" ); document.write( "e + n + t = 205 \n" ); document.write( "e + n + 0 = 135 \n" ); document.write( "-------------------Subtaction eliminates e and n, find t \n" ); document.write( "0 + 0 + t = 70 \n" ); document.write( "t = $70 is Teds amt \n" ); document.write( ": \n" ); document.write( "Using the 3rd equation, replace t with 70 \n" ); document.write( "n + 70 = 122 \n" ); document.write( "n = 122 - 70 \n" ); document.write( " n = $52 is Ned's amt \n" ); document.write( ": \n" ); document.write( "Used 2nd equation, replace t with 70 again \n" ); document.write( "e + 70 = 153 \n" ); document.write( "e = 153 - 70 \n" ); document.write( "e = $83 is Ed's amt \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "You can confirm this by adding these value together and see if they agree with the given sums \n" ); document.write( " |