document.write( "Question 1208899: Andrew and Beatrice each have their own savings account. Beatrice’s account has $600 less than three times what Andrew’s account has. If Andrew had $300 more dollars, then he would have exactly half what is currently in Beatrice’s account. How much does Beatrice have? \n" ); document.write( "
Algebra.Com's Answer #847599 by math_tutor2020(3817)![]() ![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "Answer: $3000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Explanation\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "a = Andrew's amount before the $300 is added later \n" ); document.write( "3a-600 = Beatrice's amount\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "After Andrew gets an extra $300 (which I'm assuming is not from Beatrice), then the \"a\" becomes a+300.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Then, \n" ); document.write( "Andrew's amount = (1/2)*(Beatrice's amount) \n" ); document.write( "Beatrice's amount = 2*(Andrew's amount) \n" ); document.write( "3a-600 = 2*(a+300) \n" ); document.write( "3a-600 = 2a+600 \n" ); document.write( "3a-2a = 600+600 \n" ); document.write( "a = 1200 \n" ); document.write( "Andrew starts off with $1200.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Beatrice has 3a-600 = 3*1200-600 = 3600-600 = $3000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If Andrew gets that extra $300, then he'll have $1200 + $300 = $1500 which is half of the $3000 Beatrice has. This helps confirm the answer is correct. \n" ); document.write( " \n" ); document.write( " |