document.write( "Question 849149: THere was a young boy and girl who worked in the market. When the boy was born, the young girl was a quarter of the age of the butcher, Tony. The young girl is currently a third of the age of Gary, who is a chicken farmer. The young boy is a quarter of Tony's age. In four years he will be a quarter of Gary's age at that time. How old is the boy?
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Algebra.Com's Answer #511427 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Wow! Wasn't that the cast of \"Green Acres\" ?
\n" ); document.write( "Let \"+b+\" = the Boy's age now
\n" ); document.write( "Let \"+y+\" = the young girl's age now
\n" ); document.write( "Let \"+t+\" = Tony's age now
\n" ); document.write( "Let \"+g+\" = Gary's age now
\n" ); document.write( "------------------------------
\n" ); document.write( "(1) \"+y+=+%281%2F3%29%2Ag+\"
\n" ); document.write( "(2) \"+b+=+%281%2F4%29%2At+\"
\n" ); document.write( "(3) \"+b+%2B+4+=+%281%2F4%29%2A%28+g%2B4+%29+\"
\n" ); document.write( "------------------------------
\n" ); document.write( "When the boy was born, the young girl was
\n" ); document.write( "a quarter of the age of the butcher, Tony.
\n" ); document.write( "That means the difference in their ages,
\n" ); document.write( "(4) \"+y+-+b+=+%281%2F4%29%2At+\"
\n" ); document.write( "---------------
\n" ); document.write( "(2) \"+t+=+4b+\"
\n" ); document.write( "Substitute (2) into (4)
\n" ); document.write( "(4) \"+y+-+b+=+%281%2F4%29%2A4b+\"
\n" ); document.write( "(4) \"+4y+-+4b+=+4b+\"
\n" ); document.write( "(4) \"+y+-+b+=+b+\"
\n" ); document.write( "(4) \"+y+=+2b+\"
\n" ); document.write( "------------------
\n" ); document.write( "(1) \"+g+=+3y+\"
\n" ); document.write( "Substitute (1) into (3)
\n" ); document.write( "(3) \"+b+%2B+4+=+%281%2F4%29%2A%28+3y%2B4+%29+\"
\n" ); document.write( "(3) \"+4b+%2B+16+=+3y+%2B+4+\"
\n" ); document.write( "(3) \"+3y+=+4b+%2B+12+\"
\n" ); document.write( "and, from (4),
\n" ); document.write( "(4) \"+3y+=+6b+\"
\n" ); document.write( "By substitution:
\n" ); document.write( "\"+6b+=+4b+%2B+12+\"
\n" ); document.write( "\"+2b+=+12+\"
\n" ); document.write( "\"+b+=+6+\"
\n" ); document.write( "----------------
\n" ); document.write( "(4) \"+y+=+2b+\"
\n" ); document.write( "(4) \"+y+=+12+\"
\n" ); document.write( "and
\n" ); document.write( "(2) \"+t+=+4b+\"
\n" ); document.write( "(2) \"+t+=+4%2A6+\"
\n" ); document.write( "(2) \"+t+=+24+\"
\n" ); document.write( "----------------
\n" ); document.write( "(1) \"+g+=+3y+\"
\n" ); document.write( "(1) \"+g+=+3%2A12+\"
\n" ); document.write( "(1) \"+g+=+36+\"
\n" ); document.write( "----------------
\n" ); document.write( "The boy is 6
\n" ); document.write( "check:
\n" ); document.write( "(4) \"+y+-+b+=+%281%2F4%29%2At+\"
\n" ); document.write( "(4) \"+12+-+6+=+%281%2F4%29%2A24+\"
\n" ); document.write( "(4) \"+6+=+6+\"
\n" ); document.write( "and
\n" ); document.write( "(3) \"+b+%2B+4+=+%281%2F4%29%2A%28+g%2B4+%29+\"
\n" ); document.write( "(3) \"+6+%2B+4+=+%281%2F4%29%2A%28+36%2B4+%29+\"
\n" ); document.write( "(3) \"+10+=+%281%2F4%29%2A40+\"
\n" ); document.write( "(3) \"+10+=+10+\"
\n" ); document.write( "OK\r
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