document.write( "Question 947587: You are choosing between two health clubs. Club A offers membership for a fee of $29 plus a monthly fee of $28. Club B offers membership for a fee of $23 plus a monthly fee of $31. After how many months will the total cost of each health club be the same? What will be the total cost for each club? \n" ); document.write( "
Algebra.Com's Answer #578263 by macston(5194)\"\" \"About 
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The difference in membership fees is $6 and the difference in monthly fees is $3, so it will obviously take 2 months to make up the difference. But how do we express this mathematically?
\n" ); document.write( "Let M= number of months
\n" ); document.write( "Club A=$29+$28M; Club B=$23+$31M
\n" ); document.write( "The break even point is when they are equal. After that, time favors the lower monthly fee (Club A)
\n" ); document.write( "Club A=Club B
\n" ); document.write( "$29+$28M=$23+$31M subtract $23 from each side
\n" ); document.write( "$6+$28M=$31M Subtract $28M from each side
\n" ); document.write( "$6=$3M Divide each side by $3
\n" ); document.write( "2=M ANSWER: After 2 months, the cost of the clubs is the same
\n" ); document.write( "Cost at 2 months:
\n" ); document.write( "Club A=$29+$28(2)=$29+$56=$85
\n" ); document.write( "Club B=$23+$31(2)=$23+$$62=$85
\n" ); document.write( "ANSWER: Total cost of each club at break even point is $85. \n" ); document.write( "
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