document.write( "Question 951641: Emily is one quarter the age of aunt indgrid
\n" ); document.write( "their total age is 60
\n" ); document.write( "how old is Emily\r
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Algebra.Com's Answer #581187 by MathLover1(20849)\"\" \"About 
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\n" ); document.write( "let Emily's age be \"x\" and her aunt Ingrid \"y\"\r
\n" ); document.write( "\n" ); document.write( "if Emily is one quarter or \"1%2F4\" the age of aunt Ingrid, then we have:\r
\n" ); document.write( "\n" ); document.write( "\"x=%281%2F4%29y\" ....eq.1\r
\n" ); document.write( "\n" ); document.write( "if their total age is \"60\", then we have:
\n" ); document.write( "\"x%2By=60\".......eq.2 \r
\n" ); document.write( "\n" ); document.write( "to find out how old is Emily, solve this system:\r
\n" ); document.write( "\n" ); document.write( "\"x=%281%2F4%29y\" ....eq.1
\n" ); document.write( "\"x%2By=60\".......eq.2
\n" ); document.write( "---------------------------substitute \"%281%2F4%29y\" for \"x\" from eq.1 in eq.2\r
\n" ); document.write( "\n" ); document.write( "\"%281%2F4%29y%2By=60\".......eq.2 ....solve for \"y\"\r
\n" ); document.write( "\n" ); document.write( "\"y%2F4%2B4y%2F4=60\"\r
\n" ); document.write( "\n" ); document.write( "\"5y%2F4=60\"\r
\n" ); document.write( "\n" ); document.write( "\"5y=60%2A4\"\r
\n" ); document.write( "\n" ); document.write( "\"y=240%2F5\"\r
\n" ); document.write( "\n" ); document.write( "\"y=48\"\r
\n" ); document.write( "\n" ); document.write( "now find \"x\"\r
\n" ); document.write( "\n" ); document.write( "\"x=%281%2F4%29y\" ....eq.1\r
\n" ); document.write( "\n" ); document.write( "\"x=%281%2Fcross%284%291%29cross%2848%2912\" \r
\n" ); document.write( "\n" ); document.write( "\"highlight%28x=12%29\" \r
\n" ); document.write( "\n" ); document.write( "so, Emily is \"highlight%2812%29\" years old
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