document.write( "Question 214180: I would appreciate help with the following word problem:\r
\n" ); document.write( "\n" ); document.write( "The Arnold Inn offers two plans for wedding parties. Under plan A, the inn charges $30 for each person in attendance. Under plan B, the inn charges $1300 plus $20 for each person in excess of thefirst 25 who attend. For what size parties will plan B cost less? (Assume that more than 25 guests will attend.)
\n" ); document.write( "Solve as an inequality. I would appreciate if you show your work so I can understand how it's done. \r
\n" ); document.write( "\n" ); document.write( "Thank you very, very much!
\n" ); document.write( "

Algebra.Com's Answer #161771 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
Let \"C\" = the cost of the plans
\n" ); document.write( "Let \"n\" = number of guests
\n" ); document.write( "Plan A:
\n" ); document.write( "\"C+=+30n\"
\n" ); document.write( "Plan B:
\n" ); document.write( "\"C+=+1300+%2B+20%2A%28n+-+25%29\"
\n" ); document.write( "I want all situations where Plan A costs more than Plan B
\n" ); document.write( "\"30n+%3E+1300+%2B+20%2A%28n+-+25%29\"
\n" ); document.write( "\"30n+%3E+1300+%2B+20n+-+500\"
\n" ); document.write( "\"10n+%3E+800\"
\n" ); document.write( "\"n+%3E+80\"
\n" ); document.write( "If the number of guests is greater than 80,
\n" ); document.write( "plan B costs less than Plan A
\n" ); document.write( "check answer:
\n" ); document.write( "Suppose there are 80 guests
\n" ); document.write( "Plan A:
\n" ); document.write( "\"C+=+30%2A80\"
\n" ); document.write( "\"C+=+2400\"
\n" ); document.write( "Plan B:
\n" ); document.write( "\"C+=+1300+%2B+20%2A%2880+-+25%29\"
\n" ); document.write( "\"C+=+1300+%2B+20%2A55\"
\n" ); document.write( "\"C+=+1300+%2B+1100\"
\n" ); document.write( "\"C+=+2400\" (break even point)
\n" ); document.write( "Suppose there are 81 guests:
\n" ); document.write( "Plan A:
\n" ); document.write( "\"C+=+30%2A81\"
\n" ); document.write( "\"C+=+2430\"
\n" ); document.write( "Plan B:
\n" ); document.write( "\"C+=+1300+%2B+20%2A%2881+-+25%29\"
\n" ); document.write( "\"C+=+1300+%2B+20%2A56\"
\n" ); document.write( "\"C+=+1300+%2B+1120\"
\n" ); document.write( "\"C+=+2420\" ($10 cheaper)
\n" ); document.write( "OK
\n" ); document.write( "
\n" );