document.write( "Question 285456: If Steven can mix 20 drinks in 5 minutes, Sue can mix 20 drinks in 10 minutes and Jack can mix 20 drinks in 15 minutes, how much time will it take all 3 of them working together to mix the 20 drinks? \n" ); document.write( "
Algebra.Com's Answer #207155 by scott8148(6628) You can put this solution on YOUR website! in the combined time (x), they each mix a FRACTION of the 20 total drinks\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Steve mixes ___ x/5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Sue mixes ___ x/10\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Jack mixes ___ x/15\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the fractions sum to one (the whole)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "(x / 5) + (x / 10) + (x / 15) = 1\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "6x + 3x + 2x = 30 ___ x = 30/11\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "this is a mathematical solution; since each person would most likely mix a whole number of drinks (not 2/3 of a drink), \n" ); document.write( "the number is a good approximation to REALITY \n" ); document.write( " \n" ); document.write( " |