document.write( "Question 1204434: On a wall \"78\" \"2%2F5\" cm wide, Peter is going to hang five pictures beside each other, each measuring \"12\" \"1%2F2\" cm wide. He will leave \"2\" \"3%2F5\" cm in between each pair of adjacent pictures. He plans to use two nails to hang each picture and will centre these nails leaving \"4\" \"1%2F2\" cm between each pair. How far, in cm, from the end of the wall (on either side) will the first nail be placed? \n" ); document.write( "
Algebra.Com's Answer #840855 by MathTherapy(10551)\"\" \"About 
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document.write( "On a wall \"78\" \"2%2F5\" cm wide, Peter is going to hang five pictures beside each other, each measuring \"12\" \"1%2F2\" cm wide. He will leave \"2\" \"3%2F5\" cm in between each pair of adjacent pictures. He plans to use two nails to hang each picture and will centre these nails leaving \"4\" \"1%2F2\" cm between each pair. How far, in cm, from the end of the wall (on either side) will the first nail be placed?\r\n" );
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document.write( "I think a diagram is in order, so this can be better understood. .\r\n" );
document.write( "I'll keep every measurement in fractional-form, to make it easy for ME to provide an answer \r\n" );
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document.write( "As there are 5 pictures, there will be 5 - 1 or  4 spaces between the pics.\r\n" );
document.write( "With space between each pic. being \"matrix%281%2C2%2C+2%263%2F5%2C+cm%29\", total space between the 5 pics. is, \r\n" );
document.write( "Total space for the 5 pics: \r\n" );
document.write( "Total horizontal-space occupied by the 5 pics., separated by \"matrix%281%2C2%2C+2%263%2F5%2C+%22-cm%22%29\"spaces: \r\n" );
document.write( "Total space REMAINING in the allotted \"matrix%281%2C2%2C+78%262%2F5%2C+cm%29\" space: \r\n" );
document.write( "Space to the RIGHT of the left-side of the wall where the 1st of the 5 pics should be placed: . This is also the space to the LEFT of the right-side of the wall where the 5th \r\n" );
document.write( "or last of the 5 pics, should be placed.\r\n" );
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document.write( "Now, it would be a good time to check to see if ALL \"matrix%281%2C2%2C+78%262%2F5%2C+cm%29\" of space will be occupied. For this,\r\n" );
document.write( "we get: . This CHECKS!!\r\n" );
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document.write( "From what I understand, 2 nails will be used to hang each pic, and the 2 nails will be CENTERED behind each pic., \r\n" );
document.write( "so that each pair of nails - behind each pic. - will be \"matrix%281%2C2%2C+4%261%2F2%2C+cm%29\" from each preceding and each succeeding pair of nails.\r\n" );
document.write( "This means that the space between the 2nd of the 1st pair of nails and the 1st nail of the 2nd pair will be \"matrix%281%2C2%2C+4%261%2F2%2C+cm%29\" apart. \r\n" );
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document.write( "With space between pics. being \"matrix%281%2C2%2C+2%263%2F5%2C+cm%29\", remaining space between each pair of nails = \r\n" );
document.write( "Therefore, space on EITHER side of the space between each pic. = \r\n" );
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document.write( "Finally, the 1st nail should be placed \"matrix%281%2C2%2C+19%2F20%2C+cm%29\" to the right of the \"matrix%281%2C2%2C+2%263%2F4%2C+cm%29\" point from the left-side of the wall, or  from the left side of the wall. This is the same for the right-side of the wall, also!!\r\n" );
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document.write( "All/Most of this might be confusing, but should be much clearer after the above diagram is viewed.
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