document.write( "Question 842469: if 7 students of a middle school are seated in a gymnasium on each bench in a row, 15 students remain. How many rows are there in the gymnasium? \n" ); document.write( "
Algebra.Com's Answer #507563 by Theo(13342)![]() ![]() You can put this solution on YOUR website! you can't find one solution to this. \n" ); document.write( "there are multiple solutions. \n" ); document.write( "you would solve it as follows: \n" ); document.write( "y = number of students \n" ); document.write( "x = number of rows. \n" ); document.write( "the number of students will be equal to the number of rows * 7 + 15. \n" ); document.write( "your equation would be: \n" ); document.write( "y = 7x + 15 \n" ); document.write( "you can set up a table and have x going up one at a time and you will get: \n" ); document.write( " \r\n" ); document.write( "x y\r\n" ); document.write( "1 22\r\n" ); document.write( "2 29\r\n" ); document.write( "3 36\r\n" ); document.write( "4 43\r\n" ); document.write( "5 50\r\n" ); document.write( "etc.\r\n" ); document.write( " \n" ); document.write( "what this means is that you can have any number of rows and still have the number of students exceeding the number of rows available by 15. \n" ); document.write( "to find one solution, you would need some additional information that would help narrow it down, like total number of students is equal to 50. \n" ); document.write( "then you can solve using the equation., \n" ); document.write( "the equation is: \n" ); document.write( "y = 7x + 15 \n" ); document.write( "y = 50 make the equation become: \n" ); document.write( "50 = 7x + 15 \n" ); document.write( "subtract 15 from both sides of this equation to get: \n" ); document.write( "35 = 7x \n" ); document.write( "divide both sides of this equation by 7 to get: \n" ); document.write( "x = 5 \n" ); document.write( "you can also graph the equation to see that there are multiple solutions available unless you have additional information to help narrow it down. \n" ); document.write( "the graph would look like: \n" ); document.write( " \n" ); document.write( "the x-axis is the number of rows. \n" ); document.write( "the y-axis is the number of students.\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |