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 #788010 by greenestamps(13203)\"\" \"About 
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\n" ); document.write( "Let x be the number of widgets produced each day by B; then the number produced by A each day is x+3.

\n" ); document.write( "A and B together can do the whole job in 24 days.

\n" ); document.write( "A working 16 days, and B working 12 days, can do 3/5 of the job (because 2/5 of the job remains to be done).

\n" ); document.write( "\"16%28x%2B3%29%2B12%28x%29+=+%283%2F5%29%2824%28x%2Bx%2B3%29%29\"
\n" ); document.write( "\"16x%2B48%2B12x+=+%283%2F5%29%2848x%2B72%29\"
\n" ); document.write( "\"28x%2B48+=+%28144%2F5%29x%2B%28216%2F5%29\"
\n" ); document.write( "\"28x%2B48+=+28.8x%2B43.2\"
\n" ); document.write( "\"4.8+=+0.8x\"
\n" ); document.write( "\"x+=+4.8%2F0.8+=+6\"

\n" ); document.write( "B produces 6 widgets a day; A produces 9.

\n" ); document.write( "Together in a day they produce 15 widgets.

\n" ); document.write( "Together they complete the job in 24 days, so the number of widgets is 24*15 = 360.

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