document.write( "Question 1137112: Hello, I need help setting up the equation. The problem is:
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document.write( "In 16 years Dana will be five times older than she was four years ago. In how many years will Dana celebrate her 16th birthday?\r
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document.write( "D=Dana
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document.write( "(D x 5) - 4 = 16
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document.write( "does not seem correct. Thanks for your help. \n" );
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Algebra.Com's Answer #754938 by Theo(13342)![]() ![]() You can put this solution on YOUR website! let x equal her age today.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "in 16 years, she will be 5 times older than she was 4 years ago.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the equation for that would be x + 16 = 5 * (x - 4) + (x - 4).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify that equation to get x + 16 = 6 * (x - 4).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that means she will be 6 times as old as she was 4 years ago.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "simplify that equation to get x + 16 = 6 * x - 24.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 24 to both sides of this equation and subtract x from both sides of this equation to get 40 = 5 * x.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for x to get x = 40 / 5 = 8.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "she is 8 years old today.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "4 years ago she was 4 years old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "16 years from now, she will be 24 years old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "24 years old / 4 = 6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that means that she will be 6 times 4 years old in 16 years.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if she will be 6 times 4 years old in 16 years, subtract 4 from that and you will get she is 20 years older than 4 years old which means she is 5 times older than she was 4 years ago.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "24 / 4 = 6 times as old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(24 - 4) / 4 = 20 / 4 = 5 times older.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if this is not the answer you are looking for, then send me an email and i'll revise the answer from her being 5 times older to her being 5 times as old.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "there is a difference between the two statements and it's a very important difference.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |