document.write( "Question 1195185: The total amount of registration fees paid by participants at a conference was $12,400 each participant who registered on the day of the conference paid a $150 fee and each participant who registered in advance paid a $125 fee. If 74 participants registered in advance, how many participants registered on the day of the conference?  
\n" ); document.write( " \n" ); document.write( "
Algebra.Com's Answer #827591 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "x = number of people who registered on the day of the conference\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "150x = amount of money made from the people registering on the day of the conference, at $150 each\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "74 people registered in advance. They each paid $125. So in total this subgroup paid 74*125 = $9250\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "150x+9250 = total amount of money from both groups combined
\n" ); document.write( "150x+9250 = 12400\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Solve for x
\n" ); document.write( "150x+9250 = 12400
\n" ); document.write( "150x+9250-9250 = 12400-9250
\n" ); document.write( "150x = 3150
\n" ); document.write( "150x/150 = 3150/150
\n" ); document.write( "x = 21\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer: 21 people
\n" ); document.write( " \n" ); document.write( "
\n" );