document.write( "Question 141402: it it take 15 people 8 hours to make 100 items how long would it take 6 people working the same rate to make half as many items?
\n" ); document.write( "i tried working this out by dividing 6 and 15 to get 0.4
\n" ); document.write( "then i took 8 and divided it by 0.4 and got 20.
\n" ); document.write( "so i ended up with 6 people, 20 hours and 100 items. sinse the question asks for half the items i devided 20 hours and 100 items by 2. and ended up getting 10 hours for 50 items (half the items) but when i showed it to my teach she wanted and actual equation for the problem. but i cant find one for it.
\n" ); document.write( "

Algebra.Com's Answer #103017 by scott8148(6628)\"\" \"About 
You can put this solution on YOUR website!
basically, this is a proportion problem
\n" ); document.write( "__ the time is directly proportional to the number of items (more items, more time)
\n" ); document.write( "__ and inversely proportional to the number of people (more people, less time)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "t=ki/p __ k is the constant of proportionality __ it is equal to the people-hours needed to make an item\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "8=k*100/15 __ 120=100k __ 1.2=k\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "t=1.2*50/6 __ t=10
\n" ); document.write( "
\n" );