document.write( "Question 6770: This is a word problem involving ratios that I have been struggling with for a couple of hours now. Can you please help me.\r
\n" ); document.write( "\n" ); document.write( "The ratios of teachers to students at Elaine's school is 4 to 52. If there are 27 teachers at this school, then how many students are there? write a complete solution.\r
\n" ); document.write( "\n" ); document.write( "This what I have been trying: 4/52 = x/27, cross multiplied and 52x = 108, but it is not coming out right. \n" ); document.write( "
Algebra.Com's Answer #3733 by Earlsdon(6294)\"\" \"About 
You can put this solution on YOUR website!
You have the right idea but the second ratio of your proportion is inverted.\r
\n" ); document.write( "\n" ); document.write( "Remember to keep like-items in the tops and like-items in the bottoms of the ratios.\r
\n" ); document.write( "\n" ); document.write( " Teachers/students = 4/52 You had this correctly shown.
\n" ); document.write( "Let x = # of students, so you want to see the number of teachers on top and the number of students (x) on the bottom.\r
\n" ); document.write( "\n" ); document.write( "27/x\r
\n" ); document.write( "\n" ); document.write( "The proportion looks like:
\n" ); document.write( " 4/52 = 27/x Solve for x by cross-multiplying.
\n" ); document.write( "4x = (52)(27) Divide both sides by 4.
\n" ); document.write( "x = 1404/4
\n" ); document.write( "x = 351 This is the number of students.\r
\n" ); document.write( "\n" ); document.write( "Check:\r
\n" ); document.write( "\n" ); document.write( "4/52 = 27/351 Reduce the fractions.
\n" ); document.write( "1/13 = 1/13 \r
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