document.write( "Question 905686: I tried this word problem then I got stuck. Thank you for helping!\r
\n" ); document.write( "\n" ); document.write( "The cost of a gym membership includes the initial fee and a monthly fee. Find the initial and monthly fees if the total cost for five months is 225$, and the total cost for 10 months is 375$.\r
\n" ); document.write( "\n" ); document.write( "Let: I= initial M= Monthly
\n" ); document.write( "System:
\n" ); document.write( "5I+M=225
\n" ); document.write( "10I+M=375\r
\n" ); document.write( "\n" ); document.write( "5I+m=225
\n" ); document.write( "I=45-M\r
\n" ); document.write( "\n" ); document.write( "5I+8.33=225
\n" ); document.write( "I=43.33\r
\n" ); document.write( "\n" ); document.write( "10(45-M)+m=375
\n" ); document.write( "450-10M+M=375
\n" ); document.write( "M=8.3\r
\n" ); document.write( "\n" ); document.write( "Thanks!
\n" ); document.write( "

Algebra.Com's Answer #549316 by josmiceli(19441)\"\" \"About 
You can put this solution on YOUR website!
(1) \"+I+%2B+5M+=+225+\"
\n" ); document.write( "(2) \"+I+%2B+10M+=+375+\"
\n" ); document.write( "----------------------
\n" ); document.write( "Subtract (1) from (2)
\n" ); document.write( "(2) \"+I+%2B+10M+=+375+\"
\n" ); document.write( "(1) \"+-I+-+5M+=+-225+\"
\n" ); document.write( "\"+5M+=+150+\"
\n" ); document.write( "\"+M+=+30+\"
\n" ); document.write( "and
\n" ); document.write( "(1) \"+I+%2B+5%2A30+=+225+\"
\n" ); document.write( "(1) \"+I+=+225+-+150+\"
\n" ); document.write( "(1) \"+I+=+75+\"
\n" ); document.write( "The initial fee is $75
\n" ); document.write( "The monthly fee is $30
\n" ); document.write( "-----------
\n" ); document.write( "check:
\n" ); document.write( "(2) \"+I+%2B+10M+=+375+\"
\n" ); document.write( "(2) \"+75+%2B+10%2A30+=+375+\"
\n" ); document.write( "(2) \"+375+=+375+\"
\n" ); document.write( "OK\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );