document.write( "Question 1163804: A and B make widgets. A and B together can finish making them in 24 days. A alone works for 16 days, then B alone works for 12 days. The rest of the widgets are 2/5 of the total. A makes 3 more widgets than B per day. How many widgets need to be made in total? \n" ); document.write( "

Algebra.Com's Answer #788007 by Edwin McCravy(20060) $\"\"$ $\"About$

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A and B make widgets. A and B together can finish making them in 24 days.
\n" ); document.write( "A alone works for 16 days, then B alone works for 12 days.
\n" ); document.write( "The rest of the widgets are 2/5 of the total. A makes 3 more widgets than B
\n" ); document.write( "per day. How many widgets need to be made in total?
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document.write( "Let the total number of widgets that need be made = n.\r\n" );
document.write( "Let B's rate be x widgets/day.\r\n" );
document.write( "Then A' rate is x + 3 widgets per day.\r\n" );
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document.write( "So in 24 days, B makes 24x widgets. \r\n" );
document.write( "And in 24 days, A makes 24(x + 3) widgets.\r\n" );
document.write( "In 24 days, together they make n widgets.\r\n" );
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document.write( "When they work alone,\r\n" );
document.write( "A makes 16(x+3) widgets\r\n" );
document.write( "B makes 12x widgets \r\n" );
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document.write( "Since the rest are 2/5 of n, working alone they made 3/5 of n \r\n" );
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document.write( "Solve that for x and n.\r\n" );
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document.write( "You finish.  The required answer will be the value of n.\r\n" );
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document.write( "Edwin

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