document.write( "Question 962616: 3 years ago, Emma was 1/6 as old as her mom. 11 years from now, Emma will be 2/5 as old as her mom. How old is Emma now? \n" ); document.write( "
Algebra.Com's Answer #588175 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! e = Emma's present age \n" ); document.write( "m = Mom's present age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement, simply as much as possible \n" ); document.write( ": \n" ); document.write( "3 years ago, Emma was 1/6 as old as her mom. \n" ); document.write( "e - 3 = \n" ); document.write( "multiply both sides by 6 \n" ); document.write( "6(e-3) = m - 3 \n" ); document.write( "6e - 18 = m - 3 \n" ); document.write( "6e - 18 + 3 = m \n" ); document.write( "6e - 15 = m \n" ); document.write( ": \n" ); document.write( "11 years from now, Emma will be 2/5 as old as her mom. \n" ); document.write( "e + 11 = \n" ); document.write( "multiply both sides by 5 \n" ); document.write( "5(e+11) = 2(m+11) \n" ); document.write( "5e + 55 = 2m + 22 \n" ); document.write( "5e + 55 - 22 = 2m \n" ); document.write( "5e + 33 = 2m \n" ); document.write( "replace m with (6e-15) \n" ); document.write( "5e + 33 = 2(6e - 15) \n" ); document.write( "5e + 33 = 12e - 30 \n" ); document.write( "33 + 30 = 12e - 5e \n" ); document.write( "63 = 7e \n" ); document.write( "e = 63/7 \n" ); document.write( "e = 9 yrs is Emma's age \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "You should confirm this, find Mom's age (6e-15), check in both statements\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |