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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?
Answer by macston(5194)   (Show Source):
You can put this solution on YOUR website! 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?
Let M= number of months
Club A=$29+$28M; Club B=$23+$31M
The break even point is when they are equal. After that, time favors the lower monthly fee (Club A)
Club A=Club B
$29+$28M=$23+$31M subtract $23 from each side
$6+$28M=$31M Subtract $28M from each side
$6=$3M Divide each side by $3
2=M ANSWER: After 2 months, the cost of the clubs is the same
Cost at 2 months:
Club A=$29+$28(2)=$29+$56=$85
Club B=$23+$31(2)=$23+$$62=$85
ANSWER: Total cost of each club at break even point is $85.
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