document.write( "Question 732168: At this moment a movie star is 5 times as old as her child. Five years ago she was 15 times as old as her child. How old is the movie star now? How old is her child?
\n" ); document.write( "--Thanks online tutor! Any explanation is much appreciated! \n" ); document.write( "

Algebra.Com's Answer #447623 by josmiceli(19441) $\"\"$ $\"About$

You can put this solution on YOUR website!
Let $\"+m+\"$ = Movie star's age now
\n" ); document.write( "Let $\"+c+\"$ = the child's age now
\n" ); document.write( " $\"+m+-+5+\"$ = Movie star's age 5 years ago
\n" ); document.write( " $\"+c+-+5+\"$ = child's age 5 years ago
\n" ); document.write( "given:
\n" ); document.write( " $\"+m+=+5c+\"$
\n" ); document.write( " $\"+m+-+5+=+15%2A%28+c+-+5+%29+\"$
\n" ); document.write( "---------------------
\n" ); document.write( "By substitution:
\n" ); document.write( " $\"+5c+-+5+=+15%2A%28+c+-+5+%29+\"$
\n" ); document.write( " $\"+5c+-+5+=+15c+-+75+\"$
\n" ); document.write( " $\"+10c+=+70+\"$
\n" ); document.write( " $\"+c+=+7+\"$
\n" ); document.write( "and
\n" ); document.write( " $\"+m+=+5c+\"$
\n" ); document.write( " $\"+m+=+5%2A7+\"$
\n" ); document.write( " $\"+m+=+35+\"$
\n" ); document.write( "Her child is 7
\n" ); document.write( "check:
\n" ); document.write( " $\"+m+-+5+=+15%2A%28+c+-+5+%29+\"$
\n" ); document.write( " $\"+35+-+5+=+15%2A%28+7+-+5+%29+\"$
\n" ); document.write( " $\"+30+=+15%2A2+\"$
\n" ); document.write( " $\"+30+=+30+\"$
\n" ); document.write( "OK
\n" ); document.write( " \n" ); document.write( "

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