document.write( "Question 328637: In class of 62 students, the number of females is one-less than twice the number of males. How many females, and how many males are there in the class? \n" ); document.write( "
Algebra.Com's Answer #235425 by Earlsdon(6294)![]() ![]() ![]() You can put this solution on YOUR website! Let F = the number of females and M = the number of males. \n" ); document.write( "1) F+M = 62 \"In a class of 62 students,...\" \n" ); document.write( "2) F = 2M-1 \"The number of females is one less than twice the number of males.\" \n" ); document.write( "Rewrite equation 1) as: \n" ); document.write( "1a) F = 62-M and substitute this for F in equation 2) \n" ); document.write( "2a) 62-M = 2M-1 Add 1 to both sides. \n" ); document.write( "2b) 63-M = 2M Add M to both sides. \n" ); document.write( "2c) 63 = 3M Now divide both sides by 3. \n" ); document.write( "2d) 21 = M Substitute this for M in equation 2). \n" ); document.write( "2e) F = 2(21)-1 Simplify. \n" ); document.write( "2f) F = 42-1 \n" ); document.write( "2g) F = 41 \n" ); document.write( "The number of males is 21 and the number of females is 41. \n" ); document.write( " |