document.write( "Question 271324: Stuart agrees to a house - painting job for 900$. he takes 4 days longer than expected, and he has earned 18.75$ less per day than expected. in how many days did he expect to complete the house? \n" ); document.write( "
Algebra.Com's Answer #198710 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"d\" = number of days he expected job to take
\n" ); document.write( "given:
\n" ); document.write( "\"d+%2B+4\" = number of days job actually took
\n" ); document.write( "-----------------------------------------------
\n" ); document.write( "\"900%2F%28d+%2B+4%29+=+900%2Fd+-+18.75\"
\n" ); document.write( "Multiply both sides by \"d%2A%28d+%2B+4%29\"
\n" ); document.write( "\"900d+=+900%2A%28d+%2B+4%29+-+18.75%2Ad%2A%28d+%2B+4%29\"
\n" ); document.write( "\"900d+=+900d+%2B+3600+-+18.75d%5E2+-+75d\"
\n" ); document.write( "\"18.75d%5E2+%2B+75d+-+3600+=+0\"
\n" ); document.write( "I'll solve with quadratic formula
\n" ); document.write( "\"d+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"
\n" ); document.write( "\"a+=+18.75\"
\n" ); document.write( "\"b+=+75\"
\n" ); document.write( "\"c+=+-3600\"
\n" ); document.write( "\"d+=+%28-75+%2B-+sqrt%28+75%5E2-4%2A18.75%2A%28-3600%29+%29%29%2F%282%2A18.75%29+\"
\n" ); document.write( "\"d+=+%28-75+%2B-+sqrt%285625+%2B+270000+%29%29%2F37.5+\"
\n" ); document.write( "\"d+=+%28-75+%2B-+sqrt%28275625%29%29%2F37.5+\"
\n" ); document.write( "\"d+=+%28-75+%2B-+525%29%2F37.5+\"
\n" ); document.write( "\"d+=+%28-75+%2B+525%29%2F37.5\"
\n" ); document.write( "\"d+=+12\"
\n" ); document.write( "He expected to complete the house in 12 days
\n" ); document.write( "check:
\n" ); document.write( "\"900%2F%28d+%2B+4%29+=+900%2Fd+-+18.75\"
\n" ); document.write( "\"900%2F%2812+%2B+4%29+=+900%2F12+-+18.75\"
\n" ); document.write( "multiply both sides by \"12%2A16\"
\n" ); document.write( "\"900%2A12+=+900%2A16+-+18.75%2A12%2A16\"
\n" ); document.write( "\"10800+=+14400+-+3600\"
\n" ); document.write( "\"10800+=+10800\"
\n" ); document.write( "OK
\n" ); document.write( "
\n" ); document.write( "
\n" );