Question 1167409
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This problem came to the forum several years ago, and I solved it at that time, see the link


<A HREF=https://www.algebra.com/algebra/homework/sets-and-operations/sets-and-operations.faq.question.1101879.html>https://www.algebra.com/algebra/homework/sets-and-operations/sets-and-operations.faq.question.1101879.html</A> 


For your convenience, I copy-paste and reproduce here that solution again.



<pre>
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Given:  DT (marked "T"),  70 & 40 (red circle).

        DG (marked "G"),  65 & 20 (green circle).

        P,                85 & 45 (blue circle).

{{{drawing( 550, 400, -10.5, 10.5, -5.5, 10.5,
            
            red(circle(-3,  4, 5)),
          green(circle( 3,  4, 5)),
           blue(circle( 0,  0, 5)),

           locate(-6, 7, T),
           locate(-6, 6, 70/40),

           locate( 6, 7, G),
           locate( 6, 6, 65/20),

           locate( 0, -2, P),
           locate( 0, -3, 85/45),

           locate(0,  4, 15),

           locate( 0, 6.5, x),
           locate(-3 , 1,  y),
           locate( 3,  1,  z)

)}}}


                 Venn diagram 

Given:     T (70 & 40),  G (65 & 20)  and  P (85 & 45).

Unknowns:  x,  y,  and  z.

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  <TD>

<U>Solution</U>


x + y + 15 + 40 = 70
y + z + 15 + 45 = 85
x + z + 15 + 20 = 65

==========>

x + y = 15,       (1)
y + z = 25,       (2)
x + z = 30.       (3)
------------------------Add 3 equations  ====>

2x + 2y + 2z = 15 + 25 + 30 = 70  ====>

x + y + z = 35.   (4)

Subtract  (1)  from (4):  z= 20;
Subtract  (2)  from (4):  x= 10;
Subtract  (3)  from (4):  y=  5.


<U>INTERMADIATE ANSWER</U>:  x= 10;  y= 5;  z= 20.


<U>FINAL ANSWER</U>:         x + 15 = 10 + 15 = 25.

      25 applicants applied to BOTH  Daily times and Daily graphics.
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