document.write( "Question 659943: On a fruit farm, an employee can pick a bushel and a half of apples from one and a half trees in an hour and a half.
\n" ); document.write( "How many trees will the employee need to produce 12 bushels in 6 hours?
\n" ); document.write( "
\n" ); document.write( "

Algebra.Com's Answer #411016 by math-vortex(648)\"\" \"About 
You can put this solution on YOUR website!
\r\n" );
document.write( "Hi, there--\r\n" );
document.write( "\r\n" );
document.write( "The Problem:\r\n" );
document.write( "On a fruit farm, an employee can pick a bushel and a half of apples from one and a half trees \r\n" );
document.write( "in an hour and a half. How many trees will the employee need to produce 12 bushels in 6 \r\n" );
document.write( "hours?\r\n" );
document.write( "\r\n" );
document.write( "A Solution:\r\n" );
document.write( "We want to rewrite these relationships as unit rates so we can better see what's going on. \r\n" );
document.write( "A unit rate is the ratio of two measurements in which the second term is 1 (like \"bushels per \r\n" );
document.write( "tree.\")\r\n" );
document.write( "\r\n" );
document.write( "One employee produces 1.5 bushels per 1.5 trees in an hour and a half. This is equivalent to \r\n" );
document.write( "saying that the employee produces 1 bushel per tree in an hour and a half.\r\n" );
document.write( "\r\n" );
document.write( "A single hour is 2/3 of an hour and a half. So the employee can only produce 2/3 of a bushel \r\n" );
document.write( "of apples per tree for each hour he or she works.\r\n" );
document.write( "\r\n" );
document.write( "The question we are trying to answer is \"How many trees will an employee need to produce 12 \r\n" );
document.write( "bushels in 6 hours. To answer the the question, we scale up using our unit rates.\r\n" );
document.write( "\r\n" );
document.write( "With one tree the employee produces 2/3 of a bushel in one hour. Our employee will work for \r\n" );
document.write( "6 hours so that's (2/3)(6)=4 bushels per tree in 6 hours. \r\n" );
document.write( "\r\n" );
document.write( "Since every tree will produce 4 bushels by the end of 6 hours, the employee needs three trees \r\n" );
document.write( "to produce the 12 bushels.\r\n" );
document.write( "\r\n" );
document.write( "Hope this helps! If the explanation seems unclear, or you still have questions about this, feel \r\n" );
document.write( "free to email me.\r\n" );
document.write( "\r\n" );
document.write( "Mrs.Figgy\r\n" );
document.write( "math.in.the.vortex@gmail.com\r\n" );
document.write( "
\n" ); document.write( "
\n" );