Question 1164082
.


Part of the condition tells about a singer-songwriter,


while another part points to me, using the word "you".


But I am not the above-mentioned singer-songwriter  (and never was).



Can you concentrate all your attention and to write  (re-write)  your post in a  CONSISTENT  manner ?



Please remember that you write to the Math forum, &nbsp;which requires/assumes &nbsp;<U>a certain level of accuracy</U>.



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Hey, I got your comment with the new version of your problem, which is below


<pre>
    A singer-songwriter writes and produces albums for various musicians. Last year, he worked on 10 projects. 
    He wrote and produced 2 projects. He wrote a total of 5 projects. He produced a total of 7 projects. 
    a) How many projects did he write, but did not produce? b) How many projects did he produce, but did not write?
</pre>


<U>My response</U> :


<pre>
There is a universal set of 10 projects.


There is the subset P of 7 projects ("produced").

There is the subset W of 5 projects ("wrote")


Their intersection  (P &#8745; W) consists of 2 projects ("wrote and produced").



               <U>Questions</U> :



a)  How many projects did he write, but did not produce? 

        This set is  the difference of subsets  W \ (P &#8745; W),  and it consists of 7-2 = 5 projects.    <U>ANSWER</U>



b)  How many projects did he produce, but did not write?

        This set is  the difference of subsets  P \ (P &#8745; W),  and it consists of 5-2 = 3 projects.    <U>ANSWER</U>
</pre>

Solved.