document.write( "Question 1207698: Hi
\n" );
document.write( "Selena and Ella shared a sum of money. When Selena's share increased from 500 to 620 dollars, the amount of Ella's share decreased by 20%. How much was Ella's share at first.
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #845714 by math_tutor2020(3817) ![]() You can put this solution on YOUR website! \n" ); document.write( "Answer: $600\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Explanation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "500 = Selena's initial amount \n" ); document.write( "x = Ella's initial amount\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Selena's amount goes from $500 to $620. \n" ); document.write( "Selena gained $120 since 620-500 = 120. \n" ); document.write( "This must mean Ella lost $120. \n" ); document.write( "Ella's amount goes from x to x-120. \n" ); document.write( "This assumes the overall pot of money stays the same (i.e. no new amount of dollars enter it).\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The instructions state that Ella's amount decreased by 20% \n" ); document.write( "So, \n" ); document.write( "20% of x = 120 dollars lost \n" ); document.write( "0.20x = 120 \n" ); document.write( "x = 120/0.20 \n" ); document.write( "x = 600\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Selena and Ella start off with $500 and $600 respectively. \n" ); document.write( "They will end up with 500+120 = 620 and 600-120 = 480 dollars after that $120 goes from Ella to Selena. \n" ); document.write( "The percent decrease from 600 to 480 is (600-480)/600 = 0.20 = 20% decrease to help us confirm the answer is correct.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It might be helpful to make a table \n" ); document.write( "
\n" ); document.write( " \n" ); document.write( " |