In a certain alphabet, 8 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?  Choose the correct answer: A) 4 B) 8 C) 14 D) 20 E) 28
We are told that all of the letters contain either a dot or a straight line or both, which implies that there are no letters without a dot and a line (no line/no dot box = 0).   First we find the total # of letters with lines:  8 +24= 
<gadget id="calculator"> 8 +24</gadget>
<output>32</output>
32;   Next, we find the total # of letters without line:  40 - 32= 
<gadget id="calculator"> 40 - 32</gadget>
<output>8</output>
8;   Finally, we find the # of letters that contain a dot but do not contain a straight line:  8- 0= 
<gadget id="calculator">  8- 0</gadget>
<output>8</output>
8.   8
<result>B</result>
In a certain alphabet, 8 letters contain a dot and a straight line. 24 letters contain a straight line but do not contain a dot. If that alphabet has 40 letters, all of which contain either a dot or a straight line or both, how many letters contain a dot but do not contain a straight line?