document.write( "Question 791999: A student works two part-time jobs. He earns $8 an hour for working at a college library and $15 an hour for construction work. To save time for study, he limits his work to 25 hours a week. If he enjoys the work at the library more, how many hours can he work at the library and still earn at least $300 a week? \n" ); document.write( "
Algebra.Com's Answer #479815 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"+t+\" = number of hours worked at library
\n" ); document.write( "\"+25+-+t+\" = number of hours worked at construction
\n" ); document.write( "--------------
\n" ); document.write( "\"+8t+%2B+15%2A%28+25+-+t+%29+=+300+\"
\n" ); document.write( "\"+8t+%2B+375+-+15t+=+300+\"
\n" ); document.write( "\"+7t+=+375+-+300+\"
\n" ); document.write( "\"+7t+=+75+\"
\n" ); document.write( "\"+t+=+10.714+\"
\n" ); document.write( "Neglecting fractions of hours, he can work 10 hrs
\n" ); document.write( "at library and still earn $300/wk
\n" ); document.write( "--------------------
\n" ); document.write( "check:
\n" ); document.write( "\"+8t+%2B+15%2A%28+25+-+t+%29+%3E=+300+\"
\n" ); document.write( "\"+8%2A10+%2B+15%2A%28+25+-+10+%29+%3E=+300+\"
\n" ); document.write( "\"+80+%2B+15%2A15+%3E=+300+\"
\n" ); document.write( "\"+80+%2B+225+%3E=+300+\"
\n" ); document.write( "\"+325+%3E=+300+\"
\n" ); document.write( "OK
\n" ); document.write( "--------
\n" ); document.write( "Suppose he works 11 hrs at library
\n" ); document.write( "\"+8t+%2B+15%2A%28+25+-+t+%29+%3E=+300+\"
\n" ); document.write( "\"+8%2A11+%2B+15%2A%28+25+-+11+%29+%3E=+300+\"
\n" ); document.write( "\"+88+%2B+15%2A14+%3E=+300+\"
\n" ); document.write( "\"+88+%2B+210+%3E=+300+\"
\n" ); document.write( "\"+298+%3E=+300+\"
\n" ); document.write( "This is not true, so he must limit hrs worked
\n" ); document.write( "at library to 10 hrs
\n" ); document.write( "
\n" ); document.write( "
\n" );