Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bags contain only one kind of item?  Choose the correct choice from the following
A) 256 B) 260 C) 316 D) 320 E) 350
there are total of 435 bags and 210 bags contain almonds.   From the diagram 20y=5x --&gt; y=x/4. Now, Total=435={Almonds}+10x+y+x --&gt; 435=210+10x+x/4+x --&gt; x=20 --&gt; # of bags that contain only one kind of item is the sum of yellow segments: 10x+x+5x=16x=320.   Answer: 320.
<result>D</result>
Each of 435 bags contains at least one of the following three items: raisins, almonds, and peanuts. The number of bags that contain only raisins is 10 times the number of bags that contain only peanuts. The number of bags that contain only almonds is 20 times the number of bags that contain only raisins and peanuts. The number of bags that contain only peanuts is one-fifth the number of bags that contain only almonds. 210 bags contain almonds. How many bags contain only one kind of item?