document.write( "Question 323329: Ann's age is seven-tenths of Bill's age. In 4 years Ann's age will be eight-elevenths of Bill's age. How old is Bill now?\r
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document.write( "I am having a difficult time with setting up the equation due to the fractions. Any and all help will be appreciated. Thank you. \n" );
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Algebra.Com's Answer #231438 by ankor@dixie-net.com(22740)![]() ![]() You can put this solution on YOUR website! Let a = Ann'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( "\"Ann's age is seven-tenths of Bill's age.\" \n" ); document.write( "a = \n" ); document.write( "or \n" ); document.write( "a = .7b \n" ); document.write( ": \n" ); document.write( "\"In 4 years Ann's age will be eight-elevenths of Bill's age.\" \n" ); document.write( "a + 4 = \n" ); document.write( "Multiply both sides by 11 \n" ); document.write( "11(a+4) = 8(b + 4) \n" ); document.write( "11a + 44 = 8b + 32 \n" ); document.write( "11a = 8b + 32 - 44 \n" ); document.write( "11a = 8b - 12 \n" ); document.write( "Replace a with .7b \n" ); document.write( "11(.7b) = 8b -12 \n" ); document.write( "7.7b = 8b - 12 \n" ); document.write( "12 = 8b - 7.7b \n" ); document.write( "12 = .3b \n" ); document.write( "b = \n" ); document.write( "b = 40 is Bills age \n" ); document.write( "; \n" ); document.write( ": \n" ); document.write( "Find a \n" ); document.write( "a = .7(40) \n" ); document.write( "a = 28 is Anns age \n" ); document.write( "check solution in the statement: \n" ); document.write( "\"In 4 years Ann's age will be eight-elevenths of Bill's age.\" \n" ); document.write( "28 + 4 = \n" ); document.write( "32 = \n" ); document.write( "32 = 32 \n" ); document.write( " |