Two brands of detergent are to be combined. Detergent X contains 20 percent bleach and 80 percent soap, while Detergent Y contains 45 percent bleach and 55 percent soap. If the combined mixture is to be 35 percent bleach, what percent of the final mixture should be Detergent X?	Choose the correct answer
A) 10% B) 32 1/2 % C) 35% D) 40% E) 60%
Let we mix x units of detergent X and y units of detergent Y   Bleach Soap Total   40%etergent X 0.20x 0.80x x   40%etergent Y 0.45y 0.55y y   Combined 0.20x+0.45y 0.80x+0.55y x+y   Percentage of bleach in combined mixture = (0.20x+0.45y)/(x+y) = 35/100   20x + 45y = 35x + 35y   10y = 15x   x/y = 2/3   So, percentage of detergent x = x*100/(x+y) = (x/y)*100/ ((x/y)+1)   = (2/3)*100/((2/3)+1)   = 200/5= 
<gadget id="calculator">200/5</gadget>
<output>40</output>
40%   So, Answer will be 40%
<result>D</result>
Two brands of detergent are to be combined. Detergent X contains 20 percent bleach and 80 percent soap, while Detergent Y contains 45 percent bleach and 55 percent soap. If the combined mixture is to be 35 percent bleach, what percent of the final mixture should be Detergent X?