document.write( "Question 193184: Mrs. Sterling's will states that three fourths of her estate will be left to her son and $24,000 will go to her niece. Half of the remainder will got to her church. One third of the money remaining after the church donation will go to her alma mater and the remaining $4000 will pay for Mrs. Sterling's attorney. How much is Mrs. Sterling's estate worth? \n" ); document.write( "
Algebra.Com's Answer #145212 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Mrs. Sterling's will states that three fourths of her estate will be left to \n" ); document.write( " her son and $24,000 will go to her niece. Half of the remainder will got to \n" ); document.write( " her church. One third of the money remaining after the church donation will \n" ); document.write( " go to her alma mater and the remaining $4000 will pay for Mrs. Sterling's attorney. \n" ); document.write( " How much is Mrs. Sterling's estate worth \n" ); document.write( ": \n" ); document.write( "Let x = total amt of the estate \n" ); document.write( "; \n" ); document.write( "x = .75x + 24000 + .5(x-.75x-24000) + \n" ); document.write( ": \n" ); document.write( "x = .75x + 24000 + .5(.25x-24000) + \n" ); document.write( ": \n" ); document.write( "x = .75x + 24000 + .125x - 12000 + \n" ); document.write( "Group like terms \n" ); document.write( "x = .75x + .125x + 24000 - 12000 + 4000 + \n" ); document.write( ": \n" ); document.write( "x = .875x + 16000 + \n" ); document.write( "Multiply equation by 3 \n" ); document.write( "3x = 2.625x + 48000 + .125x - 12000 \n" ); document.write( ": \n" ); document.write( "3x = 2.625x + .125x + 48000 - 12000 \n" ); document.write( "; \n" ); document.write( "3x = 2.75x + 36000 \n" ); document.write( ": \n" ); document.write( "3x - 2.75x = 36000 \n" ); document.write( ": \n" ); document.write( ".25x = 36000 \n" ); document.write( "x = \n" ); document.write( "x = 144,000 is the value of the estate \n" ); document.write( ": \n" ); document.write( ": \n" ); document.write( "Check each heir's amt: \n" ); document.write( "Son = 108000 \n" ); document.write( "niece= 24000 \n" ); document.write( "church= 6000 \n" ); document.write( "almama= 2000 \n" ); document.write( "lawyer= 4000 \n" ); document.write( "------------- \n" ); document.write( "total 144,000 \n" ); document.write( " \n" ); document.write( " |