document.write( "Question 1039448: One year ago ,the ratio of between A'and B's salary was 3:4 . the ratio of their individual salary between last and this year was 4:5 and 2:3 respectively. Now, the total of their salary is 16640 . A's present salary is??? \n" ); document.write( "
Algebra.Com's Answer #654199 by ankor@dixie-net.com(22740) You can put this solution on YOUR website! One year ago ,the ratio of between A'and B's salary was 3:4 . the ratio of their individual salary between last and this year was 4:5 and 2:3 respectively. Now, the total of their salary is 16640 . A's present salary is??? \n" ); document.write( ": \n" ); document.write( "\" One year ago ,the ratio of between A'and B's salary was 3:4 . \n" ); document.write( "let x = multiplier for salaries one year ago \n" ); document.write( "then \n" ); document.write( "3x = A's salary one year ago \n" ); document.write( "4x = B's salary one year ago \n" ); document.write( ": \n" ); document.write( "\" the ratio of their individual salary between last and this year was 4:5 and 2:3 respectively \n" ); document.write( "let y = the multiplier for A's salaries last year to this year \n" ); document.write( "4y = A's salary one year ago \n" ); document.write( "5y = A's salary now \n" ); document.write( "let z = the multiplier for B's salaries last year to this year \n" ); document.write( "2z = B's salary one year ago \n" ); document.write( "3z = B's salary now \n" ); document.write( ": \n" ); document.write( "We know that \n" ); document.write( "4y = 3x (A's last year salary) \n" ); document.write( "y = .75x \n" ); document.write( "and \n" ); document.write( "2z = 4x (B's last year salary) \n" ); document.write( "z = 2x \n" ); document.write( ": \n" ); document.write( " Now, the total of their salary is 16640 . A's present salary is??? \n" ); document.write( "5y + 3z = 16640 \n" ); document.write( "Replace y with .75x; replace z with 2x \n" ); document.write( "5(.75x) + 3(2x) = 16640 \n" ); document.write( "3.75x + 6x = 16640 \n" ); document.write( "9.75x = 16640 \n" ); document.write( "x = 16640/9.75 \n" ); document.write( "x = 1706.667 is the multiplier \n" ); document.write( "Then \n" ); document.write( "3.75(1706.667) = $6400 is A's present salary \n" ); document.write( "6(1706.667) = $10240 is B's present salary \n" ); document.write( " |