document.write( "Question 1192487: There are 62 major sources of pollen in state A. These pollen sources are categorized as grasses, weeds, and trees. If the number of weeds is 5 less than the number of grasses, and the number of trees is 2 more than the number of grasses, find the number of grasses, weeds, and trees that are major pollen sources. \n" ); document.write( "

Algebra.Com's Answer #824360 by ikleyn(52846) $\"\"$ $\"About$

You can put this solution on YOUR website!
.
\n" ); document.write( "There are 62 major sources of pollen in state A.
\n" ); document.write( "These pollen sources are categorized as grasses, weeds, and trees.
\n" ); document.write( "If the number of weeds is 5 less than the number of grasses,
\n" ); document.write( "and the number of trees is 2 more than the number of grasses,
\n" ); document.write( "find the number of grasses, weeds, and trees that are major pollen sources.
\n" ); document.write( "~~~~~~~~~~~~~~~~~\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "

\r\n" );
document.write( "Grasses + weeds + trees = 62  sources.     (1)\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Grasses = x\r\n" );
document.write( "\r\n" );
document.write( "Weeds   = x-5\r\n" );
document.write( "\r\n" );
document.write( "Trees   = x+2\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Equation for the total sources\r\n" );
document.write( "\r\n" );
document.write( "    x + (x-5) + (x+2) = 62\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Simplify and find x\r\n" );
document.write( "\r\n" );
document.write( "    x + x - 5 + x + 2 = 62\r\n" );
document.write( "\r\n" );
document.write( "        3x            = 62 + 5 - 2\r\n" );
document.write( "\r\n" );
document.write( "        3x            = 65\r\n" );
document.write( "\r\n" );
document.write( "         x            = 65/3 = 21 .\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "But x must be an integer numbers.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "Since the problems produces non-integer answer, it has no solution/solutions in integer numbers.\r\n" );
document.write( "\r\n" );
document.write( "\r\n" );
document.write( "ANSWER.  The problem has no solution/solutions in integer numbers.\r\n" );
document.write( "

\r
\n" ); document.write( "\n" ); document.write( "Hence, the problem is DEFECTIVE.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "In other words, it is a FAKE.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "-----------------\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Comment from student : The number of grasses in state A = 13 The number of weeds in state A =21 The number of trees in state A =28\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "My response : The numbers in your comment DO NOT correspond to the problem's formulation.\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );