document.write( "Question 197869: Anne's age is seven-tenths of Bills age. In 4 years Anne's age will be eight-elevenths of Bill's age. How old is Bill now? \n" ); document.write( "
Algebra.Com's Answer #148382 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let a = Anne's present age \n" ); document.write( "Let b = Bill's present age \n" ); document.write( ": \n" ); document.write( "Write an equation for each statement: \n" ); document.write( ": \n" ); document.write( "\"Anne's age is seven-tenths of Bills age.\" \n" ); document.write( "a = \n" ); document.write( "or \n" ); document.write( "a = .7b \n" ); document.write( ": \n" ); document.write( "\" In 4 years Anne's age will be eight-elevenths of Bill's age.\" \n" ); document.write( "a + 4 = \n" ); document.write( ": \n" ); document.write( "Multiply both sides by 11 \n" ); document.write( "11(a+4) = 8(b+4) \n" ); document.write( ": \n" ); document.write( "11a + 44 = 8b + 32 \n" ); document.write( ": \n" ); document.write( "11a = 8b + 32 - 44 \n" ); document.write( ": \n" ); document.write( "11a = 8b - 12 \n" ); document.write( "Substitute .7b for a \n" ); document.write( "11(.7b) = 8b - 12 \n" ); document.write( ": \n" ); document.write( "7.7b = 8b - 12 \n" ); document.write( ": \n" ); document.write( "+12 = 8b - 7.7b \n" ); document.write( ": \n" ); document.write( "12 = .3b \n" ); document.write( "b = \n" ); document.write( "b = 40 yrs old is Bill's present age \n" ); document.write( "; \n" ); document.write( "; \n" ); document.write( "Check solution: \n" ); document.write( "a = .7(40) \n" ); document.write( "a = 28 yrs now \n" ); document.write( "Check solution in statement: \n" ); document.write( "In 4 years Anne's age will be eight-elevenths of Bill's age.\" \n" ); document.write( "28 + 4 = \n" ); document.write( "32 = \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( " |