document.write( "Question 282341: A group plans to share the cost equally for a $200,000 plane,the group wants to find 5 more people to join ,so that the cost will decrease $2,000 per person .How people are currently in the group.
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Algebra.Com's Answer #204998 by Theo(13342)![]() ![]() You can put this solution on YOUR website! cost of the plane is $200,000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are x number of people in the group.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "If the group adds 5 people, there will be x+5 people in the group and the cost per person will be $2,000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The cost per person would be the total cost divided by the number of people in the group.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Your equation would be:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "$200,000/(x+5) = $2,000\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Multiply both sides of this equaqtion by (x+5) to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "$200,000 = $2,000 * (x+5)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Divide both sides of this equation by $2,000 to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "100 = x + 5\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Subtract 5 from each side of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "x = 95\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "There are 95 people originally in this group.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "They add 5 and the number of people in the group becomes 100.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "$200,000 / 100 = $2,000 per person.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |