document.write( "Question 815308: 28 workers can finish a piece of work in 45 days.
\n" );
document.write( "a)How many workers are needed if the work is to be done in 36 days?
\n" );
document.write( "b)If after 33 days, 7 of the 28 workers leave, calculate the number of days that the rest of the workers require to finish the work. \r
\n" );
document.write( "\n" );
document.write( "the answer of a) is 35 but i could not solve b)
\n" );
document.write( " \n" );
document.write( "
Algebra.Com's Answer #490851 by rothauserc(4718)![]() ![]() You can put this solution on YOUR website! a) (28/45) / 28 tells us how much each worker contributes to the work \n" ); document.write( " let x be the number of workers required to complete the same amount of work in 36 days, therefore \n" ); document.write( "let u = ((28/45) / 28) \n" ); document.write( "u * 28 * 45 = u *x *36 \n" ); document.write( "cancel the u from both sides of the = \n" ); document.write( "28*45 = 36x \n" ); document.write( "x = 35 workers \n" ); document.write( "b) (u * 28 *33) + (u * 21 * x) = (u * 28 * 45) \n" ); document.write( "cancel u from both sides of = \n" ); document.write( "(28*33) + 21x = 28*45 \n" ); document.write( "21x = 336 \n" ); document.write( "x = 16 \n" ); document.write( "rest of workers take 16 days to finish the job\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " |