document.write( "Question 1162659: The Extreme Rock Climbing Club planned a climbing expedition. The total cost was $1600, which was to be divided equally among the members going. Prior to the trip, 15 members decided not to go. If the cost per person increased by $24, how many people went on the expedition? \n" ); document.write( "

Algebra.Com's Answer #786480 by ikleyn(52781) $\"\"$ $\"About$

You can put this solution on YOUR website!
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document.write( "Let n = \"how many people went on the expedition\" (the number under the question).\r\n" );
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document.write( "Then the number of members PRIOR the trip was  n+15.\r\n" );
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document.write( "The problem says\r\n" );
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document.write( "     -  = 24.\r\n" );
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document.write( "Simplify step by step and solve for n\r\n" );
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document.write( "    1600*(n+15) - 1600*n = 24n*(n+15)\r\n" );
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document.write( "    1600*15 = 24n*(n+15)\r\n" );
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document.write( "    1000    = n*(n+15)    (*)\r\n" );
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document.write( "The solution to equation  (*)  (which can be EASILY guessed MENTALLY) is n = 25.\r\n" );
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document.write( "If you want to solve the problem formally, you can solve the quadratic equation (*)  by any way you can/(you want).\r\n" );
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document.write( "ANSWER.  25 members went on the expedition.\r\n" );
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\n" ); document.write( "\n" ); document.write( " If you are seriously intended to learn Algebra, please read the following very attentively.\r
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document.write( "This problem belongs to a special class of problems.\r\n" );
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document.write( "Similar problems for Travel and Distance are often solved using the \"Time\" equation.\r\n" );
document.write( "    There are special lessons in this site written by me to teach students solving such problems.\r\n" );
document.write( "    See the links below . . . \r\n" );
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document.write( "Another similar problems belong to the set of problems \"Had they sold their items in different way . . .  \"\r\n" );
document.write( "    There is a special lesson in this site written by me to teach students solving such problems, too.\r\n" );
document.write( "    See the link below . . . \r\n" );
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document.write( "I am not sure if this set of problems is covered in the standard US middle school/high school curriculum.\r\n" );
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document.write( "Surely, these problems are NOT for beginners studying Algebra.\r\n" );
document.write( "They are intended for advanced and self-standing students, looking outside the box and interested in developing their skills.\r\n" );
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document.write( "Regarding myself, I learned about the methods of their solutions not from my school curriculum -\r\n" );
document.write( "    - for it, I read popular books in Math; popular brochures; preparation books on Math for entering university;\r\n" );
document.write( "      books related to Math circles and so on.\r\n" );
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document.write( "What I can say for sure is THIS:  if you don't know the methods on how to setup such problems;\r\n" );
document.write( "    if you don't know the methods to deduce them from wording form to equations - then you are POWERLESS to solve them.\r\n" );
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document.write( "The guessing method, as I often repeat it many times (joking) - works good only if you know the solution in advance. \r\n" );
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document.write( "Therefore, learn these methods from my posts without looking (regardless) on how the tutor @greenestamps comments them.\r\n" );
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document.write( "Otherwise, you will know NOTHING.\r\n" );
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document.write( "In other words, otherwise you will not know the subject.\r\n" );
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document.write( "                Otherwise, you even will not know where to start . . . \r\n" );
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\n" ); document.write( "\n" ); document.write( "And finally, below are the promised links to the mentioned lessons.\r
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\n" ); document.write( "\n" ); document.write( "    - Had a car move faster it would arrive sooner\r
\n" ); document.write( "\n" ); document.write( "    - How far do you live from school? \r
\n" ); document.write( "\n" ); document.write( "    - Earthquake waves \r
\n" ); document.write( "\n" ); document.write( "    - Time equation: HOW TO use, HOW TO write and HOW TO solve it \r
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\n" ); document.write( "\n" ); document.write( "    - Had they sold . . .\r
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