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
\n" ); document.write( "\n" ); 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.
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Algebra.Com's Answer #231438 by ankor@dixie-net.com(22740)\"\" \"About 
You can put this solution on YOUR website!
Let a = Ann's present age
\n" ); document.write( "Let b = Bill's present age
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\n" ); document.write( "Write an equation for each statement:
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\n" ); document.write( "\"Ann's age is seven-tenths of Bill's age.\"
\n" ); document.write( "a = \"7%2F10\"b
\n" ); document.write( "or
\n" ); document.write( "a = .7b
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\n" ); document.write( "\"In 4 years Ann's age will be eight-elevenths of Bill's age.\"
\n" ); document.write( "a + 4 = \"8%2F11\"(b + 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 = \"12%2F.3\"
\n" ); document.write( "b = 40 is Bills age
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\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 = \"8%2F11\"(40+4)
\n" ); document.write( "32 = \"8%2F11\"*44
\n" ); document.write( "32 = 32
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