the proportion of water to alcohol in solution a is 5 : 1 and the proportion of water to alcohol in solution b is 2 : 3 . if an equal amount of each solution is mixed together , what is the concentration of alcohol in the new solution ?
"let v be the total volume of the new solution . then a volume of v / 2 was added from each solution a and b . the amount of alcohol added to the new solution was : ( 1 / 6 ) ( v / 2 ) + ( 3 / 5 ) ( v / 2 ) = v / 12 + 3 v / 10 = 23 v / 60 . the concentration of alcohol is 23 / 60 = 38.3 % the answer is c ."
multiply(divide(add(1, 3), add(add(5, 2), add(1, 3))), const_100)