document.write( "Question 295770: I am stumped with this word problem, and could use some help.\r
\n" );
document.write( "\n" );
document.write( "Melanie can paint a certain barn by herself
\n" );
document.write( "in x days. Her helper Melissa can paint the same barn by
\n" );
document.write( "herself in 2x days. Write a rational expression for the fraction
\n" );
document.write( "of the barn that they complete in one day by working
\n" );
document.write( "together. Evaluate the expression for x = 5. \n" );
document.write( "
Algebra.Com's Answer #213195 by richwmiller(17219)![]() ![]() You can put this solution on YOUR website! y/x+y/2x=1 \n" ); document.write( "(2y+y)/2x=1 \n" ); document.write( "3y/2x=1 \n" ); document.write( "2x=3y \n" ); document.write( "2x/y=3 \n" ); document.write( "1/y=3/2x \n" ); document.write( "They take y days working together. \n" ); document.write( "y/5+y/10=1 \n" ); document.write( "2y+y=10 \n" ); document.write( "3y=10 \n" ); document.write( "y=10/3=3 1/3 days \n" ); document.write( "If Melanie can do it alone in 5 days and Melissa in 10 days they can do it together in 3 1/3 days. \n" ); document.write( "10/3/5+10/3/10=1 \n" ); document.write( "2/3+1/3=1 \n" ); document.write( "Melanie will do 2/3 and Melissa will do 1/3 of the job \n" ); document.write( "1/y=3/2x \n" ); document.write( "In one day they will do 3/10 of the job together \n" ); document.write( "They will do 3/2x of the job in one day together \n" ); document.write( " \n" ); document.write( " |