document.write( "Question 211998: Tony has twice as much money as Alicia. She has $16 less than Ralph. Together they have $200. How much money does each have? \n" ); document.write( "
Algebra.Com's Answer #160110 by drj(1380)![]() ![]() You can put this solution on YOUR website! Tony has twice as much money as Alicia. She has $16 less than Ralph. Together they have $200. How much money does each have? \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 1. Let x=amount of dollars that Alicia has. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 2. Tony has twice as much as Alicia or 2x dollars\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 3. Ralph has x+16 dollars since Alicia has $16 less than Ralph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 4. Since the total amount is $200 among Alicia, Tony and Ralph, add Steps 1-3. x+2x+x+16=200. This yields. 4x+16=200 or 4x=184 where I subtracted 16 from both sides of the equation.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Step 5. Solving x=184/4=46 dollars. \r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a. Alicia has 46 dollars\r \n" ); document.write( "\n" ); document.write( "b. Tony has 46*2=92 dollars.\r \n" ); document.write( "\n" ); document.write( "c Ralph has 46+16=62 dollars.\r \n" ); document.write( "\n" ); document.write( "d. Total should be $200. So, 46+92+62=200. So it checks out.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For Step-By-Step Videos in Introductory Algebra and more word problems, please visit http://www.FreedomUniversity.TV/courses/IntroAlgebra.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |