document.write( "Question 1101879: A survey carried out recently to find the number of applicants that applied for jobs in three newspaper establishments, revealed that 70 applied to the Daily Times,65 applied to the Daily Graphic, and 85 applied to the punch. 40 applied to the Daily Times only,20 applied to the Daily graphic only, while 45 applied to the punch only. If 15 applied to all the three newspaper establishments find
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\n" ); document.write( "iii.the number that applied to both the Daily graphics and the punch
\n" ); document.write( "iv.the number that applied to atleast one newspaper establishments.....please I need details on this it's contradicting my own solving \n" ); document.write( "

Algebra.Com's Answer #716504 by ikleyn(52780) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Given:  DT (marked \"T\"),  70 & 40 (red circle).\r\n" );
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document.write( "        DG (marked \"G\"),  65 & 20 (green circle).\r\n" );
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document.write( "        P,                85 & 45 (blue circle).\r\n" );
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document.write( "                 Venn diagram \r\n" );
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document.write( "Given:     T (70 & 40),  G (65 & 20)  and  P (85 & 45).\r\n" );
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document.write( "Unknowns:  x,  y,  and  z.\r\n" );
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document.write( "Solution\r\n" );
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document.write( "x + y + 15 + 40 = 70\r\n" );
document.write( "y + z + 15 + 45 = 85\r\n" );
document.write( "x + z + 15 + 20 = 65\r\n" );
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document.write( "x + y = 15,       (1)\r\n" );
document.write( "y + z = 25,       (2)\r\n" );
document.write( "x + z = 30.       (3)\r\n" );
document.write( "------------------------Add 3 equations  ====>\r\n" );
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document.write( "2x + 2y + 2z = 15 + 25 + 30 = 70  ====>\r\n" );
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document.write( "x + y + z = 35.   (4)\r\n" );
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document.write( "Subtract  (1)  from (4):  z= 20;\r\n" );
document.write( "Subtract  (2)  from (4):  x= 10;\r\n" );
document.write( "Subtract  (3)  from (4):  y=  5.\r\n" );
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document.write( "Answer:  x= 10;  y= 5;  z= 20.\r\n" );
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