document.write( "Question 850421: 2 painters painted 60 rooms in 1 week. Painter A painted 4 times as fast as painter B. How many rooms painter A painted in 1 week? \n" ); document.write( "
Algebra.Com's Answer #512129 by josmiceli(19441)\"\" \"About 
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4 times as fast means A can paint
\n" ); document.write( "4 times as many rooms/week as B
\n" ); document.write( "------------------------------
\n" ); document.write( "Let \"+n+\" = number of rooms/wk
\n" ); document.write( "that B can paint
\n" ); document.write( "Add their rates of working to get
\n" ); document.write( "their rate working together
\n" ); document.write( "-------------------------------
\n" ); document.write( "( 60 rooms ) / ( 1 wk ) = their rate working together
\n" ); document.write( "( 4n rooms ) / ( 1 wk ) = A's rate of working
\n" ); document.write( "( n rooms ) / ( 1 wk ) = B's rate of working
\n" ); document.write( "--------------------------------------------
\n" ); document.write( "\"+%284n%29+%2F+1+%2B+n+%2F+1++=+60+%2F+1+\"
\n" ); document.write( "\"+5n+=+60+\"
\n" ); document.write( "\"+n+=+12+\"
\n" ); document.write( "\"+4n+=+48+\"
\n" ); document.write( "A can paint 48 rooms in 1 week
\n" ); document.write( "check:
\n" ); document.write( "\"+%284n%29+%2F+1+%2B+n+%2F+1++=+60+%2F+1+\"
\n" ); document.write( "\"+48+%2F+1+%2B+12+%2F+1++=+60+%2F+1+\"
\n" ); document.write( "\"+60+=+60+\"
\n" ); document.write( "OK
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