document.write( "Question 1009950: A university with 176 faculty members wants to maintain a ratio of 23 students to 2 faculty members. How many students should they enroll to maintain that ratio? \n" ); document.write( "
Algebra.Com's Answer #625458 by Theo(13342)\"\" \"About 
You can put this solution on YOUR website!
the number of faculty members = 176.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the ratio of students to faculty members is 23 to 2 which can be written as 23/2.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "to maintain the same ratio, you set up an equation with x as the number of students and 176 as the number of faculty.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the ratios must be the same, therefore:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "23/2 = x/176\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "multiply both sides of this equation by 176 to get:\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "23/2 * 176 = x\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "solve for x to get x = 2024.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "that's the number of students you need in order to keep the ratio of students to faculty at 23/2.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "if this is correct, then 23/2 = 2024/176\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "cross multiply to get 23*176 = 2*2024\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "simplify to get 4048 = 4048.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "the ratios are the same.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "your solution is confirmed as good.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );